# What is the LCM of 3, 4, and 9?

The LCM (Least Common Multiple) of 3, 4, and 9 is the least number which is exactly divisible by all the numbers 3, 4, and 9 without leaving any remainder.

## Answer: LCM of 3, 4, and 9 is 36

We will explain two methods to find the LCM of 3, 4, and 9.

## Explanation:

The two methods that we are using to find LCM(3, 4, 9) are shown below.

- LCM of 3, 4, and 9 by Listing Method
- LCM of 3, 4, and 9 by Common Division Method

### Method 1: LCM of 3, 4, and 9 by Listing Method

We will list out the first few multiples of 3, 4, and 9 and determine the common multiples of 3, 4, and 9.

The least among the common multiples is the LCM(3, 4,9). Here, 36 is the least common multiple of 3, 4, and 9.

### Method2: LCM of 3, 4, and 9 by Common Division Method

In this division method, we divide the numbers 3, 4, and 9 simultaneously with prime numbers and stop the dividing process when we don't have a prime number to divide either of 3, 4, and 9.

By using any of the above methods, the answer to LCM of 3, 4, and 9 is the same.