What is the LCM of 3000 and 500?
The LCM of 3000 and 500 is 3000.
Steps to find LCM
- Find the prime factorization of 3000
3000 = 2 × 2 × 2 × 3 × 5 × 5 × 5 - Find the prime factorization of 500
500 = 2 × 2 × 5 × 5 × 5 - 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 × 5 × 5 × 5 - LCM = 3000
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