Professional review pending. One Rep Max Calculator has passed formula and automated QA checks, but no independently verified clinician is currently attributed. Content updated June 21, 2026. Review process

One Rep Max Calculator

Estimate one-rep max using Epley, Brzycki, Lander, and Lombardi formulas with training load percentages.

Reviewed by CalculatorApp.me Health Team

One Rep Max (1RM) Calculator — Complete Guide

Epley, Brzycki, and Lombardi formulas, rep-percentage charts, progressive overload, periodization models, and strength standards.

1RM

Maximum single lift

~85%

5-rep max percentage

2-3 min

Rest for strength sets

1-2%/wk

Progressive overload rate

What Is One Rep Max (1RM)?

The one-repetition maximum (1RM) is the maximum weight a person can lift for a single repetition with proper form. It is the gold standard for measuring absolute muscular strength and is used to prescribe training loads as percentages (e.g., "work at 75% of your 1RM"). Knowing your 1RM allows precise programming for hypertrophy, strength, power, or endurance goals.

Rather than testing a true 1RM (which carries injury risk and requires maximal effort), most athletes estimate it from a submaximal set — lifting a lighter weight for multiple reps and applying a prediction formula. Research shows that sets of 3-10 reps provide the most accurate predictions; sets above 12 reps progressively underestimate true 1RM because endurance factors begin to dominate.

The 1RM is exercise-specific and muscle-group-specific — your squat 1RM says nothing about your bench press 1RM. Ratios between lifts (e.g., squat should be ~1.2-1.5× bench) can reveal imbalances and guide programming priorities.

1RM Estimation Formulas

Epley Formula (Most Common)
1RM = w × (1 + r/30)

Where:
  w = weight lifted
  r = number of repetitions

Example: 225 lbs × 5 reps
  1RM = 225 × (1 + 5/30)
  1RM = 225 × 1.1667
  1RM = 262.5 lbs

Percentage calculation:
  %1RM = 1 / (1 + r/30) × 100

Rep → %1RM mapping:
  1 rep  = 100%  (actual max)
  3 reps = 90.9%
  5 reps = 85.7%
  8 reps = 78.9%
  10 reps = 75.0%
  12 reps = 71.4%
  15 reps = 66.7%
  20 reps = 60.0%

Published by Boyd Epley (1985). The most widely used formula due to simplicity. Slightly overestimates for very low reps and underestimates for very high reps.

Brzycki Formula
1RM = w × (36 / (37 − r))

Equivalently:
  1RM = w / (1.0278 − 0.0278 × r)

Example: 225 lbs × 5 reps
  1RM = 225 × (36/(37−5))
  1RM = 225 × (36/32)
  1RM = 225 × 1.125
  1RM = 253.1 lbs

%1RM from reps:
  %1RM = (37 − r) / 36 × 100

Rep → %1RM:
  1 rep  = 100%
  3 reps = 94.4%
  5 reps = 88.9%
  8 reps = 80.6%
  10 reps = 75.0%
  12 reps = 69.4%
  15 reps = 61.1%

Note: Becomes undefined at 37 reps
(mathematical limit of the formula)

Published by Matt Brzycki (1993). Tends to produce more conservative estimates than Epley. Particularly accurate for sets of 1-10 reps.

Lombardi, O'Conner & Mayhew Formulas
Lombardi (1989):
  1RM = w × r^0.10

O'Conner et al. (1989):
  1RM = w × (1 + 0.025 × r)

Mayhew et al. (1992):
  1RM = w / (0.522 + 0.419 × e^(−0.055 × r))

Example: 225 lbs × 5 reps:

  Lombardi:
    = 225 × 5^0.10
    = 225 × 1.175
    = 264.3 lbs

  O'Conner:
    = 225 × (1 + 0.025 × 5)
    = 225 × 1.125
    = 253.1 lbs

  Mayhew:
    = 225 / (0.522 + 0.419 × e^−0.275)
    = 225 / 0.840
    = 267.8 lbs

Multiple formulas exist because 1RM prediction depends on training status, muscle fiber type, and exercise type. Averaging 2-3 formulas improves accuracy.

Which Formula Is Most Accurate?
Comparison at 225 lbs × 5 reps:

  Epley:    262.5 lbs
  Brzycki:  253.1 lbs
  Lombardi: 264.3 lbs
  O'Conner: 253.1 lbs
  Mayhew:   267.8 lbs
  Average:  260.2 lbs

Accuracy factors:
  • Rep range: 1-5 reps most accurate
  • Training level: Trained > untrained
  • Exercise: Compound > isolation
  • Muscle groups: Legs > chest > arms

Best practices:
  1. Test with 3-5 reps for accuracy
  2. Use the same formula consistently
  3. Average 2-3 formulas for planning
  4. Actual 1RM testing trumps formulas
  5. Retest every 4-8 weeks of training

Real-world accuracy:
  ±5% for 3-5 reps (well-trained)
  ±10% for 8-12 reps
  ±15%+ for 15+ reps

Research by LeSuer et al. (1997) found that no single formula is superior for all exercises. Brzycki and Epley are most widely validated.

Rep-Percentage Chart & Training Zones

Reps% 1RM (Epley)% 1RM (Brzycki)Training GoalSetsRest Period
1100%100%Maximal Strength1-33-5 min
293.5%94.4%Strength / Power3-53-5 min
390.9%91.7%Strength3-53-5 min
488.2%88.9%Strength3-52-4 min
585.7%86.1%Strength3-52-4 min
683.3%83.3%Strength-Hypertrophy3-42-3 min
878.9%77.8%Hypertrophy3-51.5-2 min
1075.0%72.2%Hypertrophy3-41-2 min
1271.4%66.7%Hypertrophy-Endurance2-360-90 sec
1566.7%61.1%Muscular Endurance2-330-60 sec
2060.0%52.8%Endurance2-330-60 sec

Strength Standards (Body-Weight Ratios)

LiftBeginnerNoviceIntermediateAdvancedElite
Back Squat (M)0.75×BW1.25×BW1.75×BW2.5×BW3.0×BW
Back Squat (F)0.50×BW0.75×BW1.25×BW1.75×BW2.25×BW
Bench Press (M)0.50×BW1.0×BW1.5×BW2.0×BW2.5×BW
Bench Press (F)0.35×BW0.65×BW1.0×BW1.5×BW1.75×BW
Deadlift (M)1.0×BW1.5×BW2.0×BW2.75×BW3.5×BW
Deadlift (F)0.65×BW1.0×BW1.5×BW2.25×BW2.75×BW
OHP (M)0.35×BW0.65×BW1.0×BW1.35×BW1.65×BW
OHP (F)0.25×BW0.45×BW0.65×BW0.90×BW1.15×BW

BW = body weight. Standards based on Symmetric Strength and ExRx.net data for healthy adults. M = Male, F = Female, OHP = Overhead Press.

History of Strength Testing & Training

~600 BC

Milo of Croton — Progressive Overload Origin

The legendary Greek wrestler Milo reportedly carried a growing calf daily until it became a bull — the earliest description of progressive overload. While likely embellished, the principle (gradually increasing load) remains the most fundamental concept in strength training.

1945

DeLorme — Modern Resistance Training

US Army physician Thomas DeLorme published his progressive resistance exercise protocol for rehabilitating injured soldiers. He established the concept of training with percentages of maximum capacity and prescribed 3 sets of 10 repetitions — a structure (3×10) that remains the most common gym prescription today.

1985

Epley Formula Published

Boyd Epley, strength coach at the University of Nebraska, published his 1RM prediction formula: 1RM = w × (1 + r/30). Its simplicity made it the most widely adopted formula. It allowed coaches to prescribe training loads from submaximal tests, reducing injury risk from maximal testing.

1993

Brzycki Alternative Formula

Matt Brzycki proposed the formula 1RM = w × 36/(37−r), which produces more conservative estimates at higher rep ranges. Research comparing formulas found Brzycki slightly more accurate for bench press, while Epley better predicted squat and deadlift 1RM.

2004

Prilepin's Chart Gains Mainstream Adoption

Soviet weightlifting coach Alexander Prilepin's research on optimal training volumes (number of reps at each intensity) was widely disseminated. His chart prescribes 1-3 reps at 90%+ 1RM (4-10 total reps), 3-6 reps at 80-89% (10-20 total), and 3-6 reps at 70-79% (12-24 total).

2017

Meta-Analysis Validates Volume-Matched Training

Schoenfeld et al. published a meta-analysis showing that both heavy (85%+ 1RM) and moderate (60-80% 1RM) loads produce similar hypertrophy when volume is equated — but heavy loads are superior for maximal strength gains. This validated the use of moderate loads for muscle growth.

Key Research & Data

Strength Training Myths vs. Facts

You must train heavy (1-3 reps) to build muscle.

Hypertrophy occurs across a wide rep range (6-30+ reps) as long as sets are taken close to failure. Research shows similar muscle growth at 30% vs 85% 1RM when volume is equated. However, heavy training (85%+) IS superior for maximal strength (1RM) gains.

Testing your 1RM is dangerous and unnecessary.

While maximal testing carries higher injury risk than submaximal training, proper preparation (warm-up, progressive loading, spotters) makes it safe. However, 1RM estimation formulas make direct testing unnecessary for most trainees. True 1RM testing is mainly needed for competitive powerlifters.

You should always train to failure for maximum gains.

Training to failure is not required for strength or hypertrophy gains — leaving 1-3 reps in reserve (RPE 7-9) produces similar results with better recovery. Consistently training to failure increases CNS fatigue, extends recovery time, and may increase injury risk. Reserve failure for isolation exercises and deload periods.

Women get 'bulky' from heavy lifting.

Women produce ~15-20× less testosterone than men, making excessive muscle gain virtually impossible. Heavy lifting increases strength, bone density, and muscle tone without dramatic size increases. Most female strength athletes train heavy and maintain lean, athletic physiques.

Frequently Asked Questions

How do I safely test my 1RM?
Warm up thoroughly with progressive sets: empty bar × 10, 40% × 8, 60% × 5, 75% × 3, 85% × 1, 90% × 1, then attempt 1RM. Rest 3-5 minutes between sets above 85%. Always use a spotter for bench press. If you fail, reduce by 5% and retry.
Which formula should I use?
For most purposes, Epley and Brzycki are equally valid. Epley tends to give slightly higher estimates; Brzycki is more conservative. Use whichever you prefer, but be consistent — don't switch between them when tracking progress.
How often should I retest my 1RM?
Every 4-8 weeks for intermediates (or at the end of each training block). Beginners may improve weekly and don't need formal testing — estimated 1RM from working sets tracks progress. Advanced lifters may test every 8-12 weeks during peaking phases.
What percentage should I use for building muscle?
Hypertrophy occurs best at 60-80% 1RM (8-12 reps) with 3-5 sets per exercise and 60-90 seconds rest. However, any load taken close to failure can produce hypertrophy. Varying rep ranges (6-15) across the week provides the best overall results.
What is progressive overload?
Progressive overload means systematically increasing training stimulus over time — by adding weight (2.5-5 lbs), reps (1-2 more), sets (1 more), or reducing rest time. It is THE fundamental principle of strength and muscle growth. Without it, adaptation stalls.
Why doesn't my 1RM match the calculator?
Formulas assume optimal technique, full recovery, and maximal effort. Factors like fatigue, nutrition, sleep, stress, and exercise-specific skill all affect your actual 1RM. Estimate-to-actual discrepancies of ±5-10% are normal, especially above 10 reps.
What is RPE and how does it relate to 1RM?
Rate of Perceived Exertion (RPE) scale: RPE 10 = failure (0 reps left), RPE 9 = 1 rep left, RPE 8 = 2 reps left, etc. RPE 8 at 5 reps ≈ 80% 1RM. RPE-based training auto-regulates intensity based on daily readiness, making it more adaptive than fixed percentages.
Is my squat-to-bench ratio important?
Ratios help identify imbalances. Common guidelines: Squat should be 1.2-1.5× bench, deadlift should be 1.2-1.5× squat. If your bench exceeds your squat, your lower body likely needs more training volume and/or technique work.
Can I estimate 1RM from a 20-rep set?
Technically yes, but accuracy drops significantly above 10 reps. A 20RM prediction may be off by ±15-20% because muscular endurance, cardiovascular fitness, pain tolerance, and mental toughness — not pure strength — determine 20+ rep performance.
What is the difference between absolute and relative strength?
Absolute strength = total weight lifted (e.g., 315 lb squat). Relative strength = strength per unit body weight (e.g., 315/180 = 1.75× BW). Heavier lifters have higher absolute strength but lighter lifters often have higher relative strength — which is why weight classes exist.
How does age affect 1RM?
Strength peaks around age 25-35 and declines ~1-2% per year after 40 without training. With consistent training, adults can maintain 80-90% of peak strength into their 60s. Masters lifters (40+) can still make significant strength gains through progressive training.
What is periodization?
Periodization is systematic variation of training variables (intensity, volume, frequency) over weeks/months to maximize adaptation while preventing overtraining. Common models: Linear (gradually increase intensity), Undulating (vary intensity daily/weekly), Block (focused phases). All outperform constant loading in research.

References

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Methodology, sources & limitations

This calculator uses a published formula and the values entered in the calculator to generate the result.

Formula
1RM = Weight × (1 + Reps/30)
Jurisdiction & units
Intended for US, IN, EU, GB, Global. Supports both units where applicable.
Assumptions & limitations
Results are screening or educational estimates based on the inputs you provide. They do not diagnose, treat, or replace advice from a qualified clinician.
Review status
Formula and automated QA completed June 21, 2026; independent professional review is pending. Next scheduled review: September 21, 2026.

Validation sources

  • NSCA Essentials of Strength Training
  • Epley (1985)
  • Brzycki (1993)

One Rep Max Calculator — Answer & Method

Estimate one-rep max (1RM) using the Epley, Brzycki, and Lombardi formulas.

Formula: Epley Formula

1RM = Weight × (1 + Reps/30)

W = Weight Lifted (lbs/kg)
R = Reps

Example Calculation

225 lbs for 5 reps estimates a 1RM of approximately 262 lbs (Epley).

Important limitation

This is an educational estimate, not a diagnosis or a substitute for professional medical advice.

Key Facts

  • The Epley formula is most accurate for rep ranges of 1–10.
  • 1RM testing is a standard method for measuring maximal strength.

Sources & Validation

NSCA Essentials of Strength TrainingEpley (1985)Brzycki (1993)

Related Calculators

Deterministic: YesAI-Generated Numbers: NoVerified: 2026-02-12

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