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If p and q are positive integers such that their greatest common facto

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Bunuel
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If p and q are positive integers such that their greatest common facto [#permalink] New post   24 Apr 2018, 06:09
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If p and q are positive integers such that their greatest common factor is 6 and their least common multiple is 120. What is the product of p and q?

(A) 60
(B) 72
(C) 120
(D) 360
(E) 720
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E
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Re: If p and q are positive integers such that their greatest common facto [#permalink] New post   24 Apr 2018, 06:17
ans: E

We know LCMxGCD = Pxq so 120x6=720
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Re: If p and q are positive integers such that their greatest common facto [#permalink] New post   24 Apr 2018, 12:17
the product of a two number is equal to the LCM of the two numbers and their HCF.

so P*Q = LCM*HCF = 120*6 = 720

Hence E
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Re: If p and q are positive integers such that their greatest common facto [#permalink] New post   25 Apr 2018, 16:35
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Bunuel wrote:
If p and q are positive integers such that their greatest common factor is 6 and their least common multiple is 120. What is the product of p and q?

(A) 60
(B) 72
(C) 120
(D) 360
(E) 720


Since LCM(p and q) x GCF(p and q) = pq, the product of p and q is 6 x 120 = 720.

Answer: E
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Re: If p and q are positive integers such that their greatest common facto [#permalink] New post   25 May 2023, 14:46
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Re: If p and q are positive integers such that their greatest common facto [#permalink]
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