The "multiples" of a number, N, are the numbers N, 2*N, 3*N, ..., etc. For example, the multiples of 4 are listed below in the usual order.
4, 8, 12, 16, 20, ..., and so on.
So by "common multiple" one means a number that is a multiple of 2 or more numbers.
Try listing the multiples of 7 and 21, separately.
You will find many numbers that appear in both lists. These are the common multiples of 7 and 21.
In fact, you will find that every multiple of 21 is also a multiple of 7. Do you see why?
Hope this helps. If not, I or another tutor will be glad to further assist you.