# Least Common Multiple of 3 Numbers

Finding the least common multiple (lcm) of three numbers is similar to finding the lcm of 2 numbers.

To find the least common multiple (lcm) of three numbers

- We begin by listing the first few multiples of the three numbers.
- Then we look for the common multiples of all the numbers.
- The first common multiple of the numbers would be their least common multiple.

Find the least common multiple of 6, 10, 15

### Solution

**Step 1:**

The multiples of 6, 10 and 15 are as follows

Multiples of 6 = 6, 12, 18, 24, **30**, 36, 42, 48, 54, **60**…

Multiples of 10 = 10, 20, **30**, 40, 50, **60**, 70, 80…

Multiples of 15 = 15, **30**, 45, **60**, 75, 90…

**Step 2:**

Some common multiples of the three numbers are 30, 60...

**Step 3:**

The first common multiple of 6, 10 and 15 is 30, which is their least common multiple (lcm)

Find the least common multiple of 9, 12, 24

### Solution

**Step 1:**

The multiples of 9, 12 and 24 are as follows

Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, **72**

Multiples of 12 = 12, 24, 36, 48, 60, **72**

Multiples of 24 = 24, 48, **72**, 96

**Step 2:**

The first common multiple of 9, 12 and 24 is 72, which is their least common multiple (lcm)