What is the LCM of 378 and 1536?
The LCM of 378 and 1536 is 96768.
Steps to find LCM
- Find the prime factorization of 378
378 = 2 × 3 × 3 × 3 × 7 - Find the prime factorization of 1536
1536 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 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 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 - LCM = 96768
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