# What is the LCM of 3, 5 and 6?

LCM of 3, 5 and 6 is the smallest number which is exactly divisible by 3, 5, and 6.

## Answer: LCM of 3, 5 and 6 is 30

Let us see how to find the LCM of 3,5 and 6

## Explanation:

We can find the LCM by the following two methods:

- by Division Method
- using Common Multiples

Least Common Multiple of 3, 5 and 6 is the smallest number, which is exactly divisible by 3,5 and 6 without leaving a remainder.

We will explain two methods to find the LCM of 3, 5 and 6

## Methods to Find LCM of 3, 5 and 6

### Method 1:** **LCM of 3, 5 and 6 by Division Method:

In this division method, we divide 3, 5 and 6 simultaneously with prime numbers and stop it when we don't have a prime number to divide them further.

So, the least common multiple of 3, 5 and 6 is given by 2 × 3 × 5 = 30. This means LCM(3, 5, 6) = 30

### Method 2: LCM of 3, 5 and 6 using Common Multiples:

Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

Multiples of 5 = 5, 10, 15, 20, 25, 30, 35

Multiples of 6 = 6, 12, 18, 24, 30, 36

Clearly, 30 is the least common factor of 3, 5 and 6

Hence, LCM of 3, 5 and 6 = 36