# What is the LCM of 12, 15, 18, and 27?

The LCM (Least Common Multiple) of 12, 15, 18, and 27 is the smallest number which is exactly divisible by all the four numbers 12, 15, 18, and 27 without leaving any remainder.

## Answer: LCM of 12, 15, 18, and 27 is 540

We will explain two methods to find the LCM of 12, 15, 18, and 27.

## Explanation:

The two methods that we are using to find LCM (12, 15, 18, 27) are shown below.

- LCM of 12, 15, 18, and 27 by Common Division Method
- LCM of 12, 15, 18, and 27 by Listing the Common Factors

### Method 1: LCM of 12, 15, 18, and 27 by Common Division Method

In this division method, we divide the numbers 12, 15, 18, and 27 simultaneously with prime numbers and stop the dividing process when we don't have a prime number to divide either of 12, 15, 18, and 27.

### Method 2: LCM of 12, 15, 18, and 27 by Listing Method

We will determine the common multiples of 12, 15, 18, and 27 by listing out the first few multiples of 12, 15, 18, and 27.

The smallest among the common multiples is the LCM of 12, 15, 18, and 27.

The number, 540 is the least common multiple of 12, 15, 18, and 27.

So, LCM of 12, 15, 18, and 27 is 540.

From all the above methods the solution to our question "what is the LCM of 12, 15, 18, and 27" is the same.