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Find the greatest number of three digits which is exactly divisible by 6, 8, 10 and 16.
Question

Find the greatest number of three digits which is exactly divisible by 6, 8, 10 and 16.

A.

960

B.

720

C.

240

D.

480

Correct option is A

Concept Used:

The smallest number which is exactly divisible by all number = LCM of numbers

Solution:

The smallest number of three digits which is exactly divisible by 6, 8, 10 and 16 =LCM of these numbers 

Lcm of numbers = 480

The numbers which is exactly divisible by 6, 8, 10 and 16 are multiple of 480

480×\times2 = 960

960 is the largest three digit number which is multiple of 480.

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