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PS relating to LCM

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by rabab » Wed Oct 01, 2008 8:18 am
If m is the least common multiple of 90, 196 and 300. which of the following is not a factor of m?

1. 600
2. 700
3. 900
4. 2100
5. 4900
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Re: PS relating to LCM

by Morgoth » Wed Oct 01, 2008 10:22 am
rabab wrote:If m is the least common multiple of 90, 196 and 300. which of the following is not a factor of m?

1. 600
2. 700
3. 900
4. 2100
5. 4900

IMO 600


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

LCM = M = 2*2*3*3*5*5*7*7


600 = 2*2*5*5*2*3 [this option has an extra 2 more than the LCM]

700 = 7*2*5*2*5

900 = 2*2*5*5*3*3

2100 = 2*2*5*5*3*7

4900 = 2*2*5*5*7*7


Thus, 600.

OA?
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by cramya » Wed Oct 01, 2008 7:28 pm
LCM = 44100

44100/600 WILL NOT BE A INTEGER
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by vivek.kapoor83 » Wed Oct 01, 2008 7:46 pm
Sama IMO A. OA pls
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by gmat009 » Wed Oct 01, 2008 10:19 pm
CAn someone help me plz.
I am trying to do LCM of 90,300,196
I am getting- 2*2*2*5*5*3*3*7*7 =88200
Somehow I am getting extra 2 and I don't know where I am doing wrong.
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Re: PS relating to LCM

by HarvardDreamin » Wed Oct 01, 2008 10:54 pm
Morgoth wrote:
rabab wrote:If m is the least common multiple of 90, 196 and 300. which of the following is not a factor of m?

1. 600
2. 700
3. 900
4. 2100
5. 4900

IMO 600


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

LCM = M = 2*2*3*3*5*5*7*7


600 = 2*2*5*5*2*3 [this option has an extra 2 more than the LCM]

700 = 7*2*5*2*5

900 = 2*2*5*5*3*3

2100 = 2*2*5*5*3*7

4900 = 2*2*5*5*7*7


Thus, 600.

OA?
Agree with answer..
ON MY WAY TO HBS......
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