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What is the LCM of 54 and 768?

The LCM of 54 and 768 is 6912.

Steps to find LCM

  1. Find the prime factorization of 54
    54 = 2 × 3 × 3 × 3
  2. Find the prime factorization of 768
    768 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3
  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 × 3 × 3 × 3
  4. LCM = 6912

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