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What is the LCM of 378 and 512?

The LCM of 378 and 512 is 96768.

Steps to find LCM

  1. Find the prime factorization of 378
    378 = 2 × 3 × 3 × 3 × 7
  2. Find the prime factorization of 512
    512 = 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
  4. LCM = 96768

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