Least Common Multiple (LCM) of 767 and 5
The least common multiple (LCM) of 767 and 5 is 3835.
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 767 and 5?
First, calculate the GCD of 767 and 5 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 767 ÷ 5 = 153 remainder 2 |
| 2 | 5 ÷ 2 = 2 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 40 and 121 | 4840 |
| 47 and 126 | 5922 |
| 10 and 83 | 830 |
| 90 and 120 | 360 |
| 77 and 191 | 14707 |