Question

Find the least number which should be added to 2497 so that the sum is exactly divisible by 5,6,4 and 3

Answer 1

LCM of 564 and 3 is 60 on dividing 2497 by 60 remainder is 37 therefore number to be added equal to 60 minus 37 equal to 23 and the number is  23

Answer 2

Given:

The number 2497

To find:

The least number which should be added to 2497 so that the sum is exactly divisible by 3, 4, 5, 6

Calculation:

Any numbers which is divisible by the numbers a,b,c,d,..... is always a multiple of the L.C.M of the numbers a,b,c,d,.....

L.C.M of 3,4,5,6 = 60

The remainder obtained on dividing 2497 with 60 is 37

∴Number to be added = 60-37

                                      = 23

The least number which should be added to 2497 is 23