(The smallest common multiple of 36, 54 and 60) /90 is equal to

(a) 10
(b) 12
(c) 5
(d) 6

Anurag Mishra Professor Asked on 26th February 2016 in Maths.
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  • 1 Answer(s)

    Answer: (d) 6 

    Solution:-
    The factors of 36 = 2 x 2 x 3 x 3
    The factors of 54 = 2 x 3 x 3 x 3
    The factors of 60 = 2 x 2 x 3 x 5

    Then, the smallest common multiple of 36, 54 and 60 = 2 x 2 x 3 x 3 x 3 x 5
    = 540

    (the smallest common multiple of 36, 54 and 60)/90 = 540/90
    = 6

    Hence, the correct answer is option (d) 6.

    Anurag Mishra Professor Answered on 27th February 2016.
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