# What is the LCM of 6, 8, and 15?

To find the LCM of 6, 8, and 15, we need the least number which is exactly divisible by the numbers 6, 8, and 15.

## Answer: LCM of 6, 8, and 15 is 120

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

## Explanation:

We will explain two methods to find the LCM of 6, 8, and 15.

- LCM of 6, 8, and 15 by Listing Multiples Method
- LCM of 6, 8, and 15 by Common Division Method

### Method 1: LCM of 6, 8, and 15 by Listing Multiples Method

Follow the steps given below to find the LCM of 6, 8, and 15.

**Step 1:** List the first few multiples of 6, 8 and 15

**Step 2:** Identify the common multiples of 6, 8 and 15

**Step 3:** LCM of 6, 8, and 15 is equal to the least number among the common multiples of 6, 8 and 15.

From this list, we can see that 120 is the least common multiple of 6, 8, and 15. So, LCM of 6, 8, and 15 is 120.

### Method 2: LCM of 6, 8, and 15 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.

So, by division method, LCM of 6, 8, and 15 is 120.

Observe that the solution to our question LCM of 6, 8, and 15 is the same in both methods.