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QuestionWhat is the greatest common multiple of 15, 75 and 90?Responses9009001515450450

Question

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Solution

The question seems to be asking for the greatest common divisor (GCD), not the greatest common multiple. The GCD is the largest number that can divide two or more numbers without leaving a remainder.

Here are the steps to find the GCD of 15, 75, and 90:

  1. First, list the prime factors of each number:

    • 15 = 3 * 5
    • 75 = 3 * 5 * 5
    • 90 = 2 * 3 * 3 * 5
  2. Then, identify the common prime factors:

    • The common prime factors are 3 and 5.
  3. Finally, multiply the common prime factors together to find the GCD:

    • GCD = 3 * 5 = 15

So, the greatest common divisor of 15, 75, and 90 is 15.

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