What are the common multiples of 8 9 and 12?

Answer 1

To find common multiples you first need to break up the numbers into their prime factors. In this case:

4=2x2

9=3x3

12=2x2x3

The next step is to identify common factors and discard the duplicates. Two numbers have two 2s so we can discard two of these. Also, two numbers have a 3, so we can discard 1 of these. That leaves us with 2, 2, 3 and 3. Multiply these together for the LCM:

2x2x3x3 = 36

To find other multiples, you simply multiply the LCM by 1,2,3 etc.

So the first three common multiples are 36, 72 and 108.

Answer 2

so 4,8,12,16,20,24,28,32,36 and the multiples of 12,are 12,24,36 so the first three multiples of 4 and 12 are 12,24 ,36

Answer 3

36, 72, 108, 144

Answer 4

36, 72 and 108

Answer 5

Any multiple of 72.

Answer 6

36, 72, 108