# What is LCM of 120 and 150?

The least possible whole number which is exactly divisible by both 120 and 150 is the LCM of 120 and 150.

## Answer: LCM of 120 and 150 is 600

Let us Find LCM of 120 and 150

## Explanation:

The least common multiple(LCM) is the smallest number which is exactly divisible by both the given numbers.

- LCM of 120 and 150 by Listing Method
- LCM of 120 and 150 by Common Division Method

### Method 1: LCM of 120 and 150 by Listing Method

In this method, we list the first few multiples of 120 and 150 and identify the common multiples. The least among the common multiples is the LCM of 120 and 150

Multiples of 120 are 120, 240, 360, 480, ** 600,** 720, 840 etc;

Multiples of 150 are 150, 300, 450, ** 600,** 750, 900 etc;

Therefore, the least common multiple of 120 and 150 is 600.

### Method 2: LCM of 120 and 150 by Common Division Method

In this division method, we divide the numbers simultaneously with prime numbers and stop it when we don't have a prime number to divide the given numbers.

Irrespective of the method, the LCM of 120 and 150 is always 600.