Find The Largest Number of Four Digits?

Find the largest number of four digits which is divisible by 27, 18, 12, 15.

  1. 9720
  2. 9910
  3. 9700
  4. 9730
Anurag Mishra Professor Asked on 23rd September 2015 in Maths.
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  • 1 Answer(s)

    Answer: (1) 9720

    Explanation:-
    The factors of 27 = 3 x 3 x 3
    The factors of 18 = 2 x 3 x 3
    The factors of 12 = 2 x 2 x 3
    The factors of 15 = 3 x 5

    Then, the L C M of 12, 15 and 18 = 2 x 2 x 3 x 3 x 3 x 5
    = 540
    The largest number of four digits = 9999
    = 540 x 18 = 9720
    Then, 9720 is the largest number of four digits which is exactly divide by 27, 18, 12 and 15.

    Hence, the answer is (1) 9720.

    Anurag Mishra Professor Answered on 23rd September 2015.
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