Question

Find the smallest number which when divided by 8 10 and 12 gives a Remainder of 4 every time

Answer 1

The LCM of 8, 10, and 12 is 120.

120 . . . . ; multiples of 10 = 10, 20, 30, 40 . . . . 120 . . . . ; multiples of 12 = 12, 24, 36, 48 . . . . 120 . . . . ) and choose the smallest multiple that is exactly divisible by 8, 10, and 12, i.e., 120.

Answer 2

take the LCM of given numbers

LCM of 8,10,12=120

let the number be x

given that when x is divided by 8 10 and 12 gives a Remainder of 4 every time

so x must be 4 more than the least common multiple of the numbers

x=120+4

=124

therefore the smallest number which when divided by 8 10 and 12 gives a Remainder of 4 every time is 124