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2016 AMC 10A Problem 25

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2016 AMC 10A Problem 25AMC 10 Step by Step
Name:                             Date: September 13, 2026
GCD & LCM · difficulty 4 of 5 · about 7 min · position P21-25

How many ordered triples (x,y,z)(x,y,z) of positive integers satisfy lcm(x,y)=72,lcm(x,z)=600\text{lcm}(x,y) = 72, \text{lcm}(x,z) = 600 and lcm(y,z)=900\text{lcm}(y,z)=900 ?

  1. A)

    1515

  2. B)

    1616

  3. C)

    2424

  4. D)

    2727

  5. E)

    6464

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