What is the LCM of 1000 and 60?
The LCM of 1000 and 60 is 3000.
Steps to find LCM
- Find the prime factorization of 1000
1000 = 2 × 2 × 2 × 5 × 5 × 5 - Find the prime factorization of 60
60 = 2 × 2 × 3 × 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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Find least common multiple (LCM) of: 2000 & 120 500 & 30 3000 & 180 5000 & 300 200 & 12 7000 & 420 2000 & 60 1000 & 120 3000 & 60 1000 & 180 5000 & 60 1000 & 300 7000 & 60 1000 & 420
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