# What is the LCM of 50 and 70?

The LCM (Least Common Multiple) of 50 and 70 is the least number which is exactly divisible by the numbers 50 and 70.

## Answer: LCM of 50 and 70 is 350

The two methods are shown below to find the LCM of 50 and 70.

**Explanation:**

The following two methods are explained to find the LCM (50, 70)

- LCM of 50 and 70 by Listing Method
- LCM of 50 and 70 by Formula

### Method1: LCM of 50 and 70 by Listing Method

List the first few multiples of 50 and 70 and identify the common multiples.

The least among the common multiples is the LCM of 50 and 70

Multiples of 50: 50, 100, 150, 200, 250, 300, 350

Multiples of 70: 70, 140, 210, 280, 350

Observe that 350 is the least common multiple of 50 and 70. This means LCM of 50 and 70 is 350

So, by this method, LCM of 50 and 70 is 350

### Method2: LCM of 50 and 70 by Formula

The formula of LCM is

LCM (a,b) = (a × b) / GCF (a,b)

The Greatest Common Factor of (50, 70) = 10

Therefore

LCM (50, 70) = (50 × 70) / 10

= 3500 / 10 = 350

So, LCM (50, 70) = 350

By using any of the above methods, the answer to LCM of 50 and 70 is the same.