# What is the LCM of 2, 4 and 8?

LCM of 2, 4 and 8 is the least number which is exactly divisible by 2, 4 and 8.

## Answer: LCM of 2, 4 and 8 is 8.

Let us calculate the LCM of 2,4 and 8.

## Explanation:

Let us find the LCM in two different ways

- Common Division
- Listing the Common Multiples

### Method 1: LCM of 2, 4 and 8 by Common Division Method

In this division method, we divide the 2, 4 and 8 simultaneously with prime numbers and stop it when we don't have a prime number to divide both 2, 4 and 8.

LCM( 2, 4, 8) = 2 × 2 × 2 = 8

### Method 2: LCM of 2, 4 and 8 by Listing Common Multiples

We will list the first few multiples of 2,4 and 8 and identify the first number which occurs in all 3 of them.

Multiples of 2 = 2, 4, 6, 8, 12,...

Multiples of 4 = 4, 8, 12, 16,..

Mutiples of 8 = 8, 16, 24,..

8 is the first number, common to all the multiples of 2, 4 and 8.