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What is the greatest positive three-digit number that is div

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What is the greatest positive three-digit number that is div

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[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

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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
Answer: E

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.

Answer: E

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scott@targettestprep.com



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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.
Answer: E

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Only $149 for 3 month Online Course
Free Resources-30 day online access & Diagnostic Test
Unlimited Access to over 120 free video lessons-try it yourself
Email to : info@mathrevolution.com

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