### 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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