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The Largest 4 Digit Number Exactly Divisible By 5, 6 And 7 Is?

Answer»

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.

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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