The multiples of 12 are 12, 24, 36, 48 and keep on adding 12.
The multiples of 16 are 16, 32, 48, 64 and keep on adding 16.
If you look at the two of these, you can see there is a least common multiple. A least common multiple is the smallest multiple that are shared by two (or more) numbers. If you list the multiples down, you can see 48 are in both, so 48 is the least common multiple for 12 and 16.
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The common multiples of 4, 12, and 16 are the infinite set of multiples of 48, which is the LCM of 4, 12, and 16. The set starts with 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, and so on.
-4, -8, -12, -16, -20 and so on.
The first 6 multiples of 4 are: 4, 8, 12, 16, 20, and 24.
The first seven multiples of 4 are 4, 8, 12, 16, 20, 24, and 28.
All multiples of 16 are also multiples of 2.