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
