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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## What is the greatest positive three-digit number that is div tagged by: Max@Math Revolution ##### This topic has 3 expert replies and 0 member replies ### GMAT/MBA Expert ## What is the greatest positive three-digit number that is div ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult [GMAT math practice question] What is the greatest positive three-digit number that is divisible by 2, 3, 4, 5, 6 and 7? A. 120 B. 140 C. 210 D. 420 E. 840 _________________ Math Revolution Finish GMAT Quant Section with 10 minutes to spare. The one-and-only Worldâ€™s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. Only$149 for 3 month Online Course
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Max@Math Revolution wrote:
[GMAT math practice question]

What is the greatest positive three-digit number that is divisible by 2, 3, 4, 5, 6 and 7?

A. 120
B. 140
C. 210
D. 420
E. 840
One approach is to check each answer choice, beginning with the largest answer choice

E. 840
840 is divisible by 2, 3, 4, 5, 6 and 7

Cheers,
Brent

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Max@Math Revolution wrote:
[GMAT math practice question]

What is the greatest positive three-digit number that is divisible by 2, 3, 4, 5, 6 and 7?

A. 120
B. 140
C. 210
D. 420
E. 840
The LCM of 2, 3, 4, 5, 6, and 7 is:

3 x 4 x 5 x 7 = 420, so the greatest positive three-digit number that is divisible by 2, 3, 4, 5, 6, and 7 is 420 x 2 = 840.

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The question asks for the value of the greatest positive three-digit multiple of lcm(2,3,4,5,6,7), where lcm(2,3,4,5,6,7) is the least common multiple of 2, 3, 4, 5, 6 and 7.
lcm(2,3,4,5,6,7) = 2^2*3*5*7 = 420.
There are two positive three-digit integers that are multiples of 420: 420 and 840.
The greatest positive three-digit number that is a multiple of 420 is 840.

Therefore, the answer is E.

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