# Answers

Solutions by everydaycalculation.com

## What is the LCM of 490 and 2100?

The LCM of 490 and 2100 is 14700.

#### Steps to find LCM

1. Find the prime factorization of 490
490 = 2 × 5 × 7 × 7
2. Find the prime factorization of 2100
2100 = 2 × 2 × 3 × 5 × 5 × 7
3. Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 2 × 3 × 5 × 5 × 7 × 7
4. LCM = 14700

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