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What is the LCM of 400 and 45?

The lcm of 400 and 45 is 3600.

Steps to find LCM

  1. Find the prime factorization of 400
    400 = 2 × 2 × 2 × 2 × 5 × 5
  2. Find the prime factorization of 45
    45 = 3 × 3 × 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 × 3 × 3 × 5 × 5
  4. LCM = 3600

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