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

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

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New post 10 Oct 2008, 08:22
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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

Kudos [?]: 10 [0], given: 0

Director
Director
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Joined: 12 Jul 2008
Posts: 514

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Schools: Wharton
Re: LCM [#permalink]

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New post 10 Oct 2008, 08:34
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)

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Manager
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Joined: 15 Apr 2008
Posts: 164

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Re: LCM [#permalink]

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New post 10 Oct 2008, 09:25
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?

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Senior Manager
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Re: LCM [#permalink]

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New post 10 Oct 2008, 15:47
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

Kudos [?]: 168 [0], given: 0

Re: LCM   [#permalink] 10 Oct 2008, 15:47
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f M is the least common multiple of 90, 196, and 300, which

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