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Find the least six-digit number that is exactly divisible by 8, 10, 12 and 16.
Question

Find the least six-digit number that is exactly divisible by 8, 10, 12 and 16.

A.

100040

B.

100020

C.

100060

D.

100080

Correct option is D

Given:

8, 10, 12 and 16

Solution:

LCM of the given digit is 8, 10, 12 and 16 = 240

The smallest digit 100000 is divided by 240 = 100000240\frac{100000}{240} = 416.66

Round up the nearest number is = 417

then to get the six digit number which is divisible by 240 is the multiplied by 417 = 240 × 417 = 100080

Thus the correct answer is (D) 

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