What is the LCM of 450 and 3000?
The LCM of 450 and 3000 is 9000.
Steps to find LCM
- Find the prime factorization of 450
450 = 2 × 3 × 3 × 5 × 5 - Find the prime factorization of 3000
3000 = 2 × 2 × 2 × 3 × 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 × 3 × 5 × 5 × 5 - LCM = 9000
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Find least common multiple (LCM) of: 900 & 6000 225 & 1500 1350 & 9000 150 & 1000 90 & 600 900 & 3000 450 & 6000 1350 & 3000 450 & 9000 2250 & 3000 3150 & 3000
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