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What is the LCM of 405 and 240?

The lcm of 405 and 240 is 6480.

Steps to find LCM

  1. Find the prime factorization of 405
    405 = 3 × 3 × 3 × 3 × 5
  2. Find the prime factorization of 240
    240 = 2 × 2 × 2 × 2 × 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 × 3 × 3 × 5
  4. LCM = 6480

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