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One Rep Max (1RM)

Estimated one rep max from reps performed at a given weight using Epley and Brzycki formulas. Free fitness calculator for one rep max (1rm). Metric and imperial. ...

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The program calls for 80% of 1RM on squats but the client hasn't done a max test. They completed 8 reps at 100 kg last session. You need estimated 1RM and a full percentage table before next week's sets are written.

One Rep Max (1RM)
Training
Epley: W × (1 + R/30) Brzycki: W ÷ (1.0278 − 0.0278 × R) Training zones: 90–100% 1RM = max strength · 75–85% = hypertrophy · 60–75% = strength-endurance
Most accurate at 3–8 reps. Accuracy drops significantly above 10 reps.
ℹ️ Results are estimates for planning purposes. Verify with current standards and a qualified professional.

1 What this calculator does

Estimates one rep maximum (1RM) from a submaximal lift -- weight and reps performed. Uses four validated formulas (Epley, Brzycki, Lander, Lombardi) and outputs a full percentage table from 50% to 100% of estimated 1RM.

2 Formula & professional reasoning

Epley (1985): 1RM = Weight x (1 + Reps/30) Brzycki (1993): 1RM = Weight / (1.0278 - 0.0278 x Reps) Lander (1985): 1RM = (100 x Weight) / (101.3 - 2.67123 x Reps) Lombardi (1989): 1RM = Weight x Reps^0.10 Most accurate range: 3-8 reps

1RM estimation formulas allow training percentage calculations without the injury risk of frequent max testing. All formulas become less accurate above 10 reps because high-rep sets are influenced by muscular endurance more than pure strength. Brzycki is often most accurate for 1-10 reps; Epley performs better across a broader range. Using multiple formulas and taking the average improves accuracy.

3 Worked examples

⚠️ Illustrative example only — not clinical or professional instruction.

Basic
Estimate 1RM from 5-rep set
Given: Weight: 120 kg | Reps: 5 | Formula: Epley
Working: 1RM = 120 x (1 + 5/30) = 120 x 1.167
Answer: Estimated 1RM: 140 kg
💡 Training percentages: 80% = 112 kg | 85% = 119 kg | 90% = 126 kg | 95% = 133 kg.
Standard
Bench press -- 8 reps at 100 kg
Given: Weight: 100 kg | Reps: 8 | Formula: Brzycki
Working: 1RM = 100 / (1.0278 - 0.0278 x 8) = 100 / 0.8054
Answer: Estimated 1RM: 124 kg
💡 At 8 reps accuracy decreases slightly. Use 120-125 kg as working 1RM. 70% = 84 kg | 75% = 90 kg | 80% = 96 kg.
Advanced
Compare formulas for best estimate
Given: Weight: 90 kg | Reps: 6
Working: Epley: 90 x (1+6/30) = 108 | Brzycki: 90/(1.0278-0.1668) = 104.5 | Lander: (100x90)/(101.3-16.03) = 105.5 | Average: ~106
Answer: Formula range: 104-108 kg | Use 105 kg conservative estimate
💡 For programming, use the lowest formula result or average to build in a safety margin. Overestimating 1RM leads to failed reps and injury.

4 Sanity check

Most accurate rep range
3-6 reps gives highest accuracy | Above 10 reps accuracy drops significantly
A 15-rep set should not be used to estimate 1RM -- the relationship becomes unreliable.
Training percentage guide
90-100%: max strength testing | 80-90%: heavy strength | 70-80%: hypertrophy and strength | 60-70%: hypertrophy | 50-60%: endurance/technique
1RM testing safety
Always perform a true 1RM test with a spotter on free-weight exercises
Never attempt a true 1RM alone, fatigued or with poor technique.
Estimated vs actual
Estimated 1RM may be 3-10% different from actual -- use conservative starting weight when first programming

5 Common errors

ErrorCauseConsequenceFix
Using a high-rep set (15+ reps) for 1RM estimation No low-rep lift available to use 1RM estimate unreliable -- may be off by 15-25% For accurate 1RM estimation use a set of 3-8 reps performed to near failure (1-2 reps in reserve). Sets of 3-5 reps are the most accurate.
Programming exact 1RM percentages without safety margin Treating estimated 1RM as exact Inability to complete programmed sets, missed reps, possible injury Round estimated 1RM down by 5% for initial programming. Test a true 1RM properly every 6-8 weeks.
Using same estimated 1RM for all exercises Assuming formula accuracy is consistent across movements 1RM accuracy varies by exercise Calculate 1RM separately for each major lift. Lombardi tends to perform better for isolation exercises; Brzycki for compound lifts.
Using a fatigued set for the estimation Performing estimation set late in the workout Underestimation of true 1RM Perform the estimation set early in the workout after a thorough warm-up. A fatigued set will underestimate the 1RM.