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# f M is the least common multiple of 90, 196, and 300, which

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Intern
Joined: 10 Oct 2008
Posts: 14
f M is the least common multiple of 90, 196, and 300, which  [#permalink]

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10 Oct 2008, 09:22
f M is the least common multiple of 90, 196, and 300, which of the following is NOT a factor of M?

A. 600
B. 700
C. 900
D. 2,100
E. 4,900

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Director
Joined: 12 Jul 2008
Posts: 511
Schools: Wharton

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10 Oct 2008, 09:34
chenhong1224 wrote:
f M is the least common multiple of 90, 196, and 300, which of the following is NOT a factor of M?

A. 600
B. 700
C. 900
D. 2,100
E. 4,900

A

90 = 2*(3^2)*5
196 = (2^2)*(7^2)
300 = (2^2)*3*(5^2)

LCM = (2^2)*(3^2)*(5^2)*(7*2)

600 = (2^3)*3*(5^2)
Manager
Joined: 15 Apr 2008
Posts: 159

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10 Oct 2008, 10:25
zoinnk wrote:
chenhong1224 wrote:
f M is the least common multiple of 90, 196, and 300, which of the following is NOT a factor of M?

A. 600
B. 700
C. 900
D. 2,100
E. 4,900

A

90 = 2*(3^2)*5
196 = (2^2)*(7^2)
300 = (2^2)*3*(5^2)

LCM = (2^2)*(3^2)*(5^2)*(7*2)

600 = (2^3)*3*(5^2)

i am not getting A as the answer infact for me all are factors of M.

where am i going wrong?
Senior Manager
Joined: 21 Apr 2008
Posts: 265
Location: Motortown

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10 Oct 2008, 16:47
A - 600

90 = 2*3*3*5
196 = 2*2*7*7
300 = 3*5*5*2*2

LCM = 3*3*5*5*2*2*7*7 = 3*3*100*7*7

700,900,2100 and 4900 are all factors of 9*100*49

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If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Re: LCM &nbs [#permalink] 10 Oct 2008, 16:47
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# f M is the least common multiple of 90, 196, and 300, which

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