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What is the LCM of 300 and 49?

The lcm of 300 and 49 is 14700.

Steps to find LCM

  1. Find the prime factorization of 300
    300 = 2 × 2 × 3 × 5 × 5
  2. Find the prime factorization of 49
    49 = 7 × 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 × 5 × 5 × 7 × 7
  4. LCM = 14700

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