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Answers − Common Multiples

1.  What are the common multiples of 2 and 3?
  Multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18...
  Multiples of 3 are: 3, 6, 9, 12, 15, 18, 21...
  So common multiples are 6, 12, 18...

2.  What are the common multiples of 3 and 5?
  Multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45...
  Multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45 ...
  So common multiples are 15, 30 and 45...

3.  What are the common multiples of 5 and 7?
  Multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70 ...
  Multiples of 7 are: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70...
  So common multiples are 35 and 70...

4.  What are the common multiples of 3 and 8?
  Multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48...
  Multiples of 8 are: 8, 16, 24, 32, 40, 48, 56, ...
  So common multiples are 24 and 48...

5.  What are the common multiples of 4 and 6?
  Multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, ...
  Multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, 54...
  So common multiples are 12, 24, 36 and 48...

6.  What are the common multiples of 6 and 9?
  Multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...
  Multiples of 9 are: 9, 18, 27, 36, 45, 54, 63...
  So common multiples are 18, 36 and 54...

7.  What are the common multiples of 3, 6 and 8?
  Multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, ...
  Multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...
  Multiples of 8 are: 8, 16, 24, 32, 40, 48, 56, ...
  So common multiples are 24 and 48...

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