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What is the least common multiple of 240 and 96? 12(d)Section E total:

Question

What is the least common multiple of 240 and 96? 12(d)Section E total:

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Solution

Sure, I can help with that. The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both. Here are the steps to find the LCM of 240 and 96:

  1. First, find the prime factors of each number.

    • The prime factors of 240 are 2, 2, 2, 2, 3, 5 (or 2^4 * 3 * 5)
    • The prime factors of 96 are 2, 2, 2, 2, 2, 3 (or 2^5 * 3)
  2. Then, for each prime number, take the highest power that appears in either factorization.

    • For 2, the highest power is 5 (from 96)
    • For 3, the highest power is 1 (from both 240 and 96)

This problem has been solved

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