Enter the weight lifted and reps completed to estimate your one rep max.
How 1RM Formulas Work
With the Epley formula, 225 lb for 5 reps estimates a one rep max of about 262.5 lb: weight × (1 + reps ÷ 30). Brzycki, the other common formula, gives 253 lb for the same set. Enter the weight and reps of a hard set above to see all seven formulas side by side and a training table built from your 1RM.
One Rep Max (1RM) is the maximum weight you can lift for a single repetition with proper form. Directly testing your 1RM carries injury risk, especially for inexperienced lifters. Predictive formulas allow you to estimate 1RM from a submaximal set, typically using a weight you can lift for 2-10 reps with full effort.
All 1RM formulas use the same two variables: the weight lifted and the number of reps completed. They differ in their mathematical models and the populations they were validated on. The Epley formula (1985) is the most widely used. Brzycki is preferred by some coaches for sets in the 2-10 rep range. Most formulas become increasingly inaccurate above 10 reps due to the growing influence of muscular endurance vs pure strength.
| Formula | Year | Equation (w = weight, r = reps) | Notes |
|---|---|---|---|
| Epley | 1985 | w × (1 + r/30) | Most widely cited |
| Brzycki | 1993 | w × 36 / (37 − r) | Preferred for 2 to 10 reps |
| Lander | 1985 | 100w / (101.3 − 2.67123 × r) | Good general accuracy |
| Lombardi | 1989 | w × r0.10 | Tends to overestimate slightly |
| Mayhew et al. | 1992 | 100w / (52.2 + 41.9 × e−0.055r) | Validated on college athletes |
| O'Conner et al. | 1989 | w × (1 + 0.025r) | Conservative estimate |
| Wathan | 1994 | 100w / (48.8 + 53.8 × e−0.075r) | Similar to Mayhew |
Most Accurate Rep Range
How to Use Training Percentages
1RM vs Rep Max
Why Formulas Differ
Reps vs Percentage of 1RM: What the Formulas Say
The share of your one rep max you can lift for a given number of reps, according to three of the formulas. Computed directly from each equation.
| Reps to failure | Epley | Brzycki | Lombardi |
|---|---|---|---|
| 1 | 100% | 100% | 100% |
| 2 | 93.8% | 97.2% | 93.3% |
| 3 | 90.9% | 94.4% | 89.6% |
| 4 | 88.2% | 91.7% | 87.1% |
| 5 | 85.7% | 88.9% | 85.1% |
| 6 | 83.3% | 86.1% | 83.6% |
| 7 | 81.1% | 83.3% | 82.3% |
| 8 | 78.9% | 80.6% | 81.2% |
| 9 | 76.9% | 77.8% | 80.3% |
| 10 | 75.0% | 75.0% | 79.4% |
| 12 | 71.4% | 69.4% | 78.0% |
| 15 | 66.7% | 61.1% | 76.3% |
Epley and Brzycki agree exactly at 10 reps (75%) and stay within about 3.5 points of each other from 2 to 12 reps. Lombardi flattens out, so above 10 reps it predicts a lower 1RM than the others. This is why estimates from sets of 3 to 6 reps are the most dependable.
Worked Example: 225 lb for 5 Reps
- Epley: 225 × (1 + 5 ÷ 30) = 262.5 lb
- Brzycki: 225 × 36 ÷ (37 − 5) = 253.1 lb
- Lander: 100 × 225 ÷ (101.3 − 2.67123 × 5) = 255.8 lb
- Lombardi: 225 × 50.10 = 264.3 lb
- Mayhew: 100 × 225 ÷ (52.2 + 41.9 × e−0.275) = 267.8 lb
- O'Conner: 225 × (1 + 0.025 × 5) = 253.1 lb
- Wathan: 100 × 225 ÷ (48.8 + 53.8 × e−0.375) = 262.3 lb
The average of the seven is 259.9 lb, and the spread is about 15 lb. The calculator rounds to the nearest 2.5 lb, so it shows 262.5 lb for Epley and 260 lb for the average.
Training loads from a 262.5 lb 1RM
| % of 1RM | Weight (nearest 2.5 lb) | Typical use |
|---|---|---|
| 90% | 237.5 lb | Heavy singles, doubles and triples |
| 85% | 222.5 lb | Strength sets of about 5 |
| 80% | 210 lb | Sets of 6 to 8 |
| 75% | 197.5 lb | Sets of 8 to 10 |
| 70% | 185 lb | Sets of 10 to 12 |
| 60% | 157.5 lb | Technique and warm-up work |
Common 1RM Mistakes
- Using a set that was not hard. The formulas assume you could not have done another rep. If you stopped with 2 reps left, add them to the rep count or the estimate will be too low.
- Estimating from high reps. From a set of 15 the formulas disagree by more than 20%, as the table above shows. Use a heavier set of 3 to 6.
- Programming from the full estimate. Many programs, 5/3/1 among them, take percentages of a training max of about 90% of your 1RM, not of the 1RM itself.
- Mixing lifts. An estimate is only valid for the lift you tested. Your squat 1RM tells you nothing about your overhead press.
These are estimates. If you test a true single, warm up well and use a spotter or safety bars. If you have a heart condition, high blood pressure or an injury, ask your doctor before maximal lifting.