60
Make a list of the multiples of each number:
4x1 = 4
4x2 = 8
4x3 = 12
...
4x15 = 60
5x1 = 5
5x2 = 10
5x3 = 15
...
5x12 = 60
6x1 = 6
6x2 = 12
6x3 = 18
...
6x10 = 60
It just so happens that 60 is the smallest number appearing in each of these numbers' list of multiples, which makes 60 the lcm.
Make a list of the multiples of each number:
4x1 = 4
4x2 = 8
4x3 = 12
...
4x15 = 60
5x1 = 5
5x2 = 10
5x3 = 15
...
5x12 = 60
6x1 = 6
6x2 = 12
6x3 = 18
...
6x10 = 60
It just so happens that 60 is the smallest number appearing in each of these numbers' list of multiples, which makes 60 the lcm.