Common multiples are just the multiples (products) that two or more numbers have in common.

Let's just do one:

Find the common multiples of

2 and 3
 

1 ) List the multiples of each:

 

2 :  2 , 4 , 6 , 8 , 10 , 12 , 14 , 16 , 18 , ...
3 :  3 , 6 , 9 , 12 , 15 , 18 , ...

 

2 ) Circle the multiples that are in both:

 

2 :  2 , 4 , ( 6 ) , 8 , 10 , ( 12 ) , 14 , 16 , ( 18 ) , ...
3 :  3 , ( 6 ) , 9 , ( 12 ) , 15 , ( 18 ) , ...
 
The common multiples of 2 and 3 are 6 , 12 , 18 , ...