**LCM( 8, 19, 23 ) = 3496**

**Step 1 : ** Write the given numbers in a horizontal line.

8 | 19 | 23 |

**Step 2 : ** Divide the given numbers by smallest prime number. In this example we can divide by **2**.

(if any number is not divisible by **2**, write it down unchanged)

2 | 8 | 19 | 23 |

4 | 19 | 23 |

**Step 3 : ** Continue dividing by prime numbers till we get 1 in all columns.

2 | 8 | 19 | 23 |

2 | 4 | 19 | 23 |

2 | 2 | 19 | 23 |

19 | 1 | 19 | 23 |

23 | 1 | 1 | 23 |

1 | 1 | 1 |

**Step 4 : ** Multiply numbers in first column to get LCM.

** LCM( 8, 19, 23 ) = 2 · 2 · 2 · 19 · 23 = 3496 **.

**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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