Solutions by everydaycalculation.com

## What is the LCM of 90 and 360?

The lcm of 90 and 360 is 360.

#### Steps to find LCM

1. Find the prime factorization of 90
90 = 2 × 3 × 3 × 5
2. Find the prime factorization of 360
360 = 2 × 2 × 2 × 3 × 3 × 5
3. Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2 × 2 × 2 × 3 × 3 × 5
4. LCM = 360

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