**LCM( 8, 12, 15 ) = 120**

**Step 1 : ** Place the numbers inside division bar:

8 | 12 | 15 |

**Step 2 : ** Find a prime number which can divide at least two of your numbers.

In this example we can divide by **2**. If any number is not divisible by **2** write it down unchanged.

2 | 8 | 12 | 15 |

4 | 6 | 15 |

**Step 3 : ** Repeat Step 2 until you can no longer divide.

2 | 8 | 12 | 15 |

2 | 4 | 6 | 15 |

2 | 3 | 15 |

2 | 8 | 12 | 15 |

2 | 4 | 6 | 15 |

3 | 2 | 3 | 15 |

2 | 1 | 5 |

Since there are no primes that divides at least two of given numbers, we conclude that the LCM is a product of starting numbers.

**LCM = 8 · 12 · 15 = 120**

**This solution can be visualized using a Venn diagram.**

The LCM is equal to the product of all the numbers on the diagram.

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