Aptitude | Arithmetic Aptitude 6 | Question 4

The largest 4 digit number exactly divisible by 5, 6 and 7 is:
(A) 9980
(B) 9870
(C) 9540
(D) 9640


Answer: (B)

Explanation:

The required number must be divisible by L.C.M. of 5,6 and 7.
L.C.M. of 5, 6 and 7 = 5 x 6 x 7 = 210

Let us divide 9999 by 210.

210) 9999 (47
      840
     ----
      1599
      1470
      ----
       129

Required number = 9999 – 129 = 9870

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