Question

Find the smallest number which, when divided by 12, 15, 18, 24 and 36 leaves no remainder

Answer 1

The least number which is exactly divisible by each given number is their L.C.M. Required number L.C.M. of 12, 15, 18, 24 and 36.

2	12,	15,	18,	24,	36
2	6,	15,	9,	12,	18
3	3,	15,	9,	6,	9
3	1,	5,	3,	2,	3
	1,	5,	1,	2,	1

∴ L.C.M. = Least required number
= 2 x 2 x 3 x 3 x 5 x 2 = 360

Hence, the least required number = 360