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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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