# Least common multiple (LCM)

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### lcm(27,45,10)

This solution deals with the least common multiple (LCM).

Solution found

270

- Alternative approach

## Step by Step Solution

## Least Common Multiple is :

270#### Calculate Least Common Multiple for :

27, 45 and 10

#### Factorize of the above numbers :

27 = 3^{3}

45 = 3^{2}• 5

10 = 2 • 5

#### Build a prime factors table

Prime Factor | Number 27 | Number 45 | Number 10 | L.C.M (max) |
---|---|---|---|---|

2 | 0 | 0 | 1 | 1 |

3 | 3 | 2 | 0 | 3 |

5 | 0 | 1 | 1 | 1 |

LCM = 2 • 3^{3}• 5