Least Common Multiple (LCM) of 190 and 150
The least common multiple (LCM) of 190 and 150 is 2850.
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 190 and 150?
First, calculate the GCD of 190 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 150 = 1 remainder 40 |
| 2 | 150 ÷ 40 = 3 remainder 30 |
| 3 | 40 ÷ 30 = 1 remainder 10 |
| 4 | 30 ÷ 10 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 100 | 18900 |
| 43 and 199 | 8557 |
| 132 and 47 | 6204 |
| 130 and 145 | 3770 |
| 45 and 77 | 3465 |