Common multiple of two integers

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Rashmi1804: Master | Next Rank: 500 Posts; Posts: 139; Joined: Sun Nov 09, 2008 12:04 am; Thanked: 3 times; GMAT Score:620

by Rashmi1804 » Wed Apr 08, 2009 4:22 am

What is the smallest possible common multiple of two integers which
are both greater than 250 ?
1 251
2 252
3 502
4 750
5 884

THE SMALLEST POSSIBLE COMMON MULTIPLE could be 2 also....2*126=252 and 2*127= 254

Both 252 ans 254 are greater than 250.

So had 2 been in the options...it would have been a possible answer too. right ??

Since 251 is the least in the all the options given, it is the right answer....right ?? for 251*1 = 251 and 251*2 = 502, both 251 an 502 greater than 250.

Please help me understand this question....

Source: Beat The GMAT — Problem Solving | Wed Apr 08, 2009 4:22 am

relic: Junior | Next Rank: 30 Posts; Posts: 22; Joined: Tue Mar 31, 2009 5:28 am; Thanked: 3 times; GMAT Score:780

by relic » Wed Apr 08, 2009 7:40 am

It sounds as if you've got multiples and factors mixed up. A multiple is the product of an integer by an integer. For instance, we say the multiples of 3 are 3,6,9,12,...

Factor are those integers that divide evenly into integers. The factors of 8 are 1,2,4, and 8.

So 1 would technically be the least common factor of any two integers, which is why a question will usually ask for a greatest common factor.

To answer the posed question of the smallest common multiple of two integers greater than 250, you had the right idea, take 251 and double it to get 502. But again, you confused a factor for a multiple. The correct answer is 502-- it's a multiple of both 251 and itself.

Rashmi1804: Master | Next Rank: 500 Posts; Posts: 139; Joined: Sun Nov 09, 2008 12:04 am; Thanked: 3 times; GMAT Score:620

by Rashmi1804 » Wed Apr 08, 2009 8:26 am

ohhhh right!!

thanks a lot relic!!

gmat740: MBA Student; Posts: 1194; Joined: Sat Aug 16, 2008 9:42 pmFollowed by: 17 members; Location: Paris, France; Thanked: 71 times; GMAT Score:710

by gmat740 » Wed Apr 08, 2009 10:36 am

what is the OA?

Rashmi1804: Master | Next Rank: 500 Posts; Posts: 139; Joined: Sun Nov 09, 2008 12:04 am; Thanked: 3 times; GMAT Score:620

by Rashmi1804 » Wed Apr 08, 2009 10:37 am

OA:3

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