# What is LCM of 2, 5, and 6?

LCM(2, 5, 6) is the least number which is exactly divisible by both 2, 5, and 6.

## Answer: LCM of 2, 5, and 6 is 30.

Let us Find LCM of 2, 5, and 6

## Explanation:

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

- Listing Method To Find LCM of 2, 5, and 6
- Common Division Method To Find LCM of 2, 5, and 6

### Method 1: Listing Method To Find LCM of 2, 5, and 6

In this method, we list the first few multiples of 2, 5, and 6 and identify the common multiples.

The multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, ** 30**, 32, 34

The multiples of 5 are 5, 10, 15, 20, 25, ** 30**, 35, 40

The multiple of 6 are 6, 12, 18, 24, ** 30**, 36, 42

The least among the common multiples is the LCM of 2, 5, and 6.

LCM of 2, 5, and 6 is 30.

### Method 2: Common Division Method To Find LCM of 2, 5, and 6

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 solution to our question LCM of 2, 5, and 6 is the same.