Problema Solution

The lowest number that is a multiple of both 60 and the integer n is 180 .

  Find the smallest possible value of n.

Answer provided by our tutors

180 = 60*3

60 = (2^2)*3*5

This means that n does not divide 60 but divides 180.

One such number is 9.

Indeed LCM(60, 9) = 180 ( click here to see LCM calculation )

The smallest possible value for n is 9.