# What is the LCM of 80, 85 and 90?

To find LCM of 80, 85 and 90, we will find the least number which is exactly divisible 80, 85 and 90 without leaving a remainder.

## Answer: LCM of 80, 85 and 90 is 12240

We will explain two methods to find the LCM of 80, 85 and 90.

## Explanation

Least Common Multiple of 80, 85 and 90 is the smallest number, which is exactly divisible by 80, 85 and 90 without leaving a remainder.

- LCM of 80, 85 and 90 by Division Method
- LCM of 80, 85 and 90 by Prime Factorization

### Method 1: LCM of 80, 85 and 90 by Division Method

In this method, we divide 80, 85 and 90 simultaneously with prime numbers and stop only when we don't have a prime number to divide 80, 885 and 90 any further.

So, the least common multiple of 80, 85 and 90 is given by 2 × 2 × 2 × 2 × 3 × 3 × 5 × 17 = 12240. This means LCM(80, 85, 90) = 12240

### Method 2: LCM of 80, 85 and 90 by Prime Factorization

**Step 1: **We will express 80, 85, and 90 as the product of their prime factors.

**Step 2: **Write each prime factorization in exponential form.

**Step 3: **LCM of 80, 85 and 90 will be the product of factors with their highest power.