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What is the LCM of 105 and 24?

The lcm of 105 and 24 is 840.

Steps to find LCM

  1. Find the prime factorization of 105
    105 = 3 × 5 × 7
  2. Find the prime factorization of 24
    24 = 2 × 2 × 2 × 3
  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 × 3 × 5 × 7
  4. LCM = 840

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