Solutions by everydaycalculation.com

## What is the LCM of 7560 and 480?

The lcm of 7560 and 480 is 30240.

#### Steps to find LCM

1. Find the prime factorization of 7560
7560 = 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7
2. Find the prime factorization of 480
480 = 2 × 2 × 2 × 2 × 2 × 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 × 2 × 2 × 3 × 3 × 3 × 5 × 7
4. LCM = 30240

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