Determine whether the statement is true or false.
-If a > b > c, then the least common multiple of p^aq^b, p^bq^c, and p^cq^a is p^aq^a.

Name: Determine whether the statement is true or false. -If a > b > c, then the least common multiple of p a q b , p b q c , and p c q a is p a q a .
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Question

Determine whether the statement is true or false. -If a > b > c, then the least common multiple of p^aq^b, p^bq^c, and p^cq^a is p^aq^a.

Quizplus · Accepted Answer

The least common multiple takes the highest power of each prime factor present in the numbers. Here, the highest power of p is a (from p^a) and the highest power of q is a (from q^a), resulting in p^a q^a.

Determine Whether the Statement Is True or False