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What is the LCM of 105 and 240?

The lcm of 105 and 240 is 1680.

Steps to find LCM

  1. Find the prime factorization of 105
    105 = 3 × 5 × 7
  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 × 5 × 7
  4. LCM = 1680

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