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What is the LCM of 3000 and 900?

The lcm of 3000 and 900 is 9000.

Steps to find LCM

  1. Find the prime factorization of 3000
    3000 = 2 × 2 × 2 × 3 × 5 × 5 × 5
  2. Find the prime factorization of 900
    900 = 2 × 2 × 3 × 3 × 5 × 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 × 3 × 3 × 5 × 5 × 5
  4. LCM = 9000

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