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What is the LCM of 490 and 48?

The lcm of 490 and 48 is 11760.

Steps to find LCM

  1. Find the prime factorization of 490
    490 = 2 × 5 × 7 × 7
  2. Find the prime factorization of 48
    48 = 2 × 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 × 2 × 3 × 5 × 7 × 7
  4. LCM = 11760

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