Question

find the least no. which should be added to 2497 so that sum is exactly divisible by 5,6,4,3

Answer 1

Least Number which should be added to 2497 so that the sum is exactly divisible by 3,4,5,6 : -


Firstly let's Find the L.C.M of the numbers 3,4,5,6

3, 2*2,5,3*2

3*2*5*2

60...60 isthe L.C.M

Given Number = 2497

Divide this number with the L.C.M

60)2497(41
......240
------------
...........97
...........60
-------------
............37. Remainder = 37
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The least Number that should be added is 60 -37 =23....

There fore 23 is the least Number which should be added to 2497 to make it exactly divisible by 3,4,5,6