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The L.C.M. of the two numbers is 35750 and their H.C.F. is 25

GMAT Quant

The L.C.M. of the two numbers is 35750 and their H.C.F. is 25. If, one of the numbers is 275, what is the other number?

A) 3150
B) 3200
C) 3215
D) 3250
E) 3255

Solution: There are two ways to solve this problem, one create two equations for L.C.M and H.C.F, and solve them to find the second number but a much simple solution would be to use an equation like:

LCM * HCF = Product of the two numbers

Let the second number be Y

Plugging in values, we get,

37550 * 25 = 275 * Y

Y = 3250

Correct Answer: D
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