Answer :

16|2
8|2
4|2
2|2
1

6|2
3|3
1

12|2
6|2
3|3
1

[tex]LCM(6,12,16)=2^4\cdot3=16\cdot3=48[/tex]
Lemony
6: 6,12,18,24,30,36,42,48,54,60
12: 12,24,36,48
16: 16,32,48

Answer: 48

First you write down all the multiples of 6,12 and 16 then you find the first number that appears in each of the lists of numbers or the one that is the least common multiple.