The common multiples of 4 and 22 are 44, 88, 132 and so on.
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The common multiples of 22, 24, and 45 are 3960, 7920, 11880, and so on.
4=22 10=2x5 So the LCM of 4 and 10 is 22x5=20 and the next multiples of both 4 and 10 are multiples of 20
Since 4 is a multiple of 2, all the multiples of 4 will be common.
The common multiples of 8 and 22 are 88, 176, 264, 352, 440, 528, 616, 704, 792, 880, 968, 1056, 1144, and so on. The common multiples of 8 and 22 are the infinite set of the multiples of 88, which is their LCM.
Multiples of 4 include 4, 8 and 12. For them to be common, they need to be compared to another set of multiples.