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03 Dec 2014, 01:55
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
82% (01:32) correct
18%
(01:42)
wrong
based on 103
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If p#q denotes the least common multiple of p and q, then ((12#16)#(18#24)) = ?
(A) 216
(B) 180
(C) 144
(D) 108
(E) 72
(A) 216
(B) 180
(C) 144
(D) 108
(E) 72
03 Dec 2014, 07:53
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There are several ways to find the Least Common Multiple of two numbers. In this case, the most efficient method is to use the Greatest Common Factor: (A * B) / (GCF A&B) = LCM A&B
The greatest common factor of 12 and 16 is 4. So, 12#16 = 12*16/4 = 48.
The greatest common factor of 18 and 24 is 6. So, 18#24 = 18*24/6 = 72
Finally, the greatest common factor of 48 and 72 is 24. So, ((12#16)#(18#24)) = 48#72 = (48*72)/24 = 2*72 = 144
The correct answer is C.
Hope this helps!
The greatest common factor of 12 and 16 is 4. So, 12#16 = 12*16/4 = 48.
The greatest common factor of 18 and 24 is 6. So, 18#24 = 18*24/6 = 72
Finally, the greatest common factor of 48 and 72 is 24. So, ((12#16)#(18#24)) = 48#72 = (48*72)/24 = 2*72 = 144
The correct answer is C.
Hope this helps!
03 Dec 2014, 08:04
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PareshGmat
Similar question to practice: if-a-b-denotes-the-greatest-common-divisor-of-a-and-b-then-189364.html
