# What is the LCM of 3, 9 and 18?

The least common multiple of 3, 9 and 18 is the smallest number that is the multiple of 3, 9 and 18.

## Answer: LCM of 3, 9 and 18 is 18

The Least Common Multiple (LCM) of three numbers a, b and c is the smallest number which is divisible by a, b and c exactly.

## Explanation:

We will explain two methods to find the LCM of 3, 9 and 18

- LCM of 3, 9 and 18 by Common Division Method
- LCM of 3, 9 and 18 by Listing Multiples Method

### Method 1: LCM of 3, 9 and 18 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.

### Method 2: LCM of 3, 9 and 18 by Listing Multiples Method

We will list the few multiples of 3, 9 and 18 and identify the common multiples of 3, 9 and 18

LCM of 3, 9 and 18 is the least number among the common multiples of 3, 9 and 18

- Multiples of 3: 3, 6, 9, 12, 15,
, 21**18** - Multiples of 9: 9,
, 27**18** - Multiples of 18:
, 36**18**

Clearly, the least common multiple of 3, 9 and 18 is 18.

So, the answer to LCM of 3, 9 and 18 is the same in both methods.