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What is the LCM of 189 and 420?

The lcm of 189 and 420 is 3780.

Steps to find LCM

  1. Find the prime factorization of 189
    189 = 3 × 3 × 3 × 7
  2. Find the prime factorization of 420
    420 = 2 × 2 × 3 × 5 × 7
  3. Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

    LCM = 2 × 2 × 3 × 3 × 3 × 5 × 7
  4. LCM = 3780

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