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What is the LCM of 315 and 6400?

The LCM of 315 and 6400 is 403200.

Steps to find LCM

  1. Find the prime factorization of 315
    315 = 3 × 3 × 5 × 7
  2. Find the prime factorization of 6400
    6400 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5
  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 × 5 × 5 × 7
  4. LCM = 403200

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