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LCM of 6 & 8 = 24

Tried dividing 5000 by 24

Got quotient 20..., clicked Answer = B

Is this a GMAT question?

No option is provided near to 208, which makes the answer obvious :)
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alex1233
How many multiples of 6 are less than 5000, and also multiples of 8?

A. 104
B. 208
C. 625
D. 832
E. 833

If a number is a multiple of 6 and 8, then it’s also a multiple of the least common multiple (LCM) of 6 and 8. Since the LCM of 6 and 8 is 24, we need to determine the number of multiples of 24 from 1 to 4,999 inclusive.

The smallest multiple of 24 is 24 and the largest is 4,992.

Thus, there are (4,992 - 24)/24 + 1 = 208 multiples of 24 under 5,000.

Answer: B
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