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The common multiples of an set of numbers are the multiples of their lowest common multiple.

lcm(7, 8, 9) = 504

→ the first 3 common multiples of 7, 8, 9 are 504, 1008, 1512.

Q: What are the first 3 common multiples of 7 8 and 9?

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lcm(2, 7) = 14 → first 3 common multiples are: 14, 28, 42; lcm(2, 8) = 8 → first 3 common multiples are: 8, 16, 24; lcm(7, 8) = 56 → first 3 common multiples are: 56, 112, 168; lcm(2, 7, 8) = 56 → first 3 common multiples are: 56, 112, 168.

The common multiples of 3 and 7 are 21, 42, 63 and so on.

42 is the LCM of 3, 6 and 7. All multiples of 42 are multiples of 3, 6 and 7

There are infinitely many common multiples of 3, 5 and 7, each one 105 larger than the previous one. Or to put it another way: the common multiples of 3, 5 and 7 are the multiples of their lowest common multiple which is 105. ie their common multiples are all the multiples of 105, of which there is no end - there is an infinite number of multiples of 105 (or any other number [except zero]).

Since 4 divides 12, they are the first 7 multiples of 12.

Related questions

2

lcm(2, 7) = 14 → first 3 common multiples are: 14, 28, 42; lcm(2, 8) = 8 → first 3 common multiples are: 8, 16, 24; lcm(7, 8) = 56 → first 3 common multiples are: 56, 112, 168; lcm(2, 7, 8) = 56 → first 3 common multiples are: 56, 112, 168.

The first 2 multiples are 42,84.

The first common multiple of 3 4 5 and 7 is 420.

21

The common multiples of 3 and 7 are 21, 42, 63 and so on.

140,280,420

35, 70, 105

They are: 140, 280 and 420

42 is the LCM of 3, 6 and 7. All multiples of 42 are multiples of 3, 6 and 7

the first three common multiples of 7, 20, and 35 are 140, 280, and 420

The first 3 multiples of 7 are: 7, 14, and 21.