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What is the LCM of 2000 and 490?

The lcm of 2000 and 490 is 98000.

Steps to find LCM

  1. Find the prime factorization of 2000
    2000 = 2 × 2 × 2 × 2 × 5 × 5 × 5
  2. Find the prime factorization of 490
    490 = 2 × 5 × 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 × 2 × 2 × 5 × 5 × 5 × 7 × 7
  4. LCM = 98000

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