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Bunuel
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136 = 2x68=4x34=(2^3)x17
204 = 4x51 = (2^2)x51 =(2^2)x3x17

LCM = (2^3)x3x17 = 408
GCF = (2^2)x17 = 68
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Bunuel
Which of the following is the least common multiple of 136 and 204?

A. 408
B. 816
C. 2,448
D. 13,872
E. 27,744

Asked: Which of the following is the least common multiple of 136 and 204?

136 = 2*2*2*17 = 2^3*17
204 = 2*2*3*17 = 2^2*3*17

LCM (136,204) = 2^3*3*17 = 408

IMO A
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Which of the following is the least common multiple of 136 and 204?

A. 408
B. 816
C. 2,448
D. 13,872
E. 27,744[/quote]

let 136x=204y→
x/y=204/136=3/2
test 3/2 ratio against options:
3*136=408
2*204=408
A
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