Least Common Multiple (LCM) of 76 and 190
The least common multiple (LCM) of 76 and 190 is 380.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 76 and 190?
First, calculate the GCD of 76 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 76 ÷ 190 = 0 remainder 76 |
| 2 | 190 ÷ 76 = 2 remainder 38 |
| 3 | 76 ÷ 38 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 150 | 600 |
| 138 and 15 | 690 |
| 110 and 121 | 1210 |
| 107 and 69 | 7383 |
| 199 and 151 | 30049 |