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First, we need to fin the LCM of 2, 5, and 7, wich is 70. So that all the multiples of 70 are all common multiples of 2, 5, and 7 such that:

70 x 1

70 x 2

70 x 3

70 x 4

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Q: What are common multiples of 2 5 and7?

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Since all 3 are prime numbers LCM = 3 * 5 * 7 = 105 All multiples of 105 are multiples of 3, 5 and 7

60 and its multiples

lcm(2, 3, 5) = 30 → 2 digit common multiples are 30, 60, 90.

6 and7

2 and 5 are the prime factors that are common to all multiples of 10.

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3, 6, 9 and so on. 5, 10, 15 and so on. 7, 14, 21 and so on. Common multiples include, 105, 210, 315 and so on.

Since all 3 are prime numbers LCM = 3 * 5 * 7 = 105 All multiples of 105 are multiples of 3, 5 and 7

35

30 is the Least Common Multiple of 2, 5 and 6. All multiples of 30 are divisible by 2, 5 and 6

The Highest Common Factor is 1

60 and its multiples

lcm(2, 3, 5) = 30 → 2 digit common multiples are 30, 60, 90.

The first two common multiples of 235 is 5 and 47.

The LCM is: 420

10 and 20

6 and7

10