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kath_the_great4: Junior | Next Rank: 30 Posts; Posts: 24; Joined: Mon May 19, 2008 3:48 pm

LCM

by kath_the_great4 » Tue Oct 21, 2008 5:09 pm

What is the smallest possible common multiple of 2 numbers greater than 250?

OA is 251

How is this possible? wouldn't that be the lowest common FACTOR not multiple?

Someone please explain the logic. Thanks.

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Source: Beat The GMAT — Problem Solving | Tue Oct 21, 2008 5:09 pm

Mani_mba: Master | Next Rank: 500 Posts; Posts: 267; Joined: Wed Jul 16, 2008 12:20 am; Thanked: 4 times; Followed by:1 members

by Mani_mba » Wed Oct 22, 2008 1:18 am

I came across this question in Kaplan.

The two numbers greater than 250 need not be different. They can be same. That is the key here.

To find the smallest possible LCM of two nos that are greater than 250, you should choose 251 which is the smallest in the set. The LCM of 251 and 251 is 251.

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stop@800: Legendary Member; Posts: 871; Joined: Wed Aug 13, 2008 7:48 am; Thanked: 48 times

by stop@800 » Wed Oct 22, 2008 10:46 pm

Mani_mba wrote:I came across this question in Kaplan.

The two numbers greater than 250 need not be different. They can be same. That is the key here.

To find the smallest possible LCM of two nos that are greater than 250, you should choose 251 which is the smallest in the set. The LCM of 251 and 251 is 251.

But we need smallest possible common multiple and not largest.

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