# What is the LCM of 8, 12 and 20?

To find the LCM of 8, 12 and 20, we need the least number which is exactly divisible by both 8, 12 and 20.

## Answer: LCM of 8, 12 and 20 is 120

The Least Common Multiple (LCM) of three numbers a, b and c is the smallest number that is divisible by a, b and c exactly without leaving any remainder.

## Explanation:

We will explain two methods to find the least common multiple of 8, 12 and 20.

- LCM (8, 12, 20) by Common Division Method
- LCM (8, 12, 20) by Listing Method

### Method 1: LCM of 8, 12 and 20 by Common Division Method

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

LCM of 8, 12 and 20 = 120

### Method 2: LCM of 8, 12 and 20 by Listing Method

We will list the first few multiples of 8, 12 and 20 and find the common multiples of 8, 12, and 20

Clearly, 120 is the least common multiple of 8, 12 and 20. So, LCM of 8, 12 and 20 is 120

Observe that the solution to our question LCM of 8, 12 and 20 is the same in both methods.