Given numbers are 12,18,27

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 12,18,27 is 108.

Find LCM of 12,18,27 with Prime Factorization

2 | 12, 18, 27 |

3 | 6, 9, 27 |

3 | 2, 3, 9 |

2, 1, 3 |

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 3 x 2 x 1 x 3 = 108

Therefore, the lowest common multiple of 12,18,27 is 108.

**LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}**

Firstly, we have to find the product of all the numbers.

12 x 18 x 27 = 5832

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

12 : 1, 2, 3, 4, 6, 12

18 : 1, 2, 3, 6, 9, 18

27 : 1, 3, 9, 27

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 12,18,27, is 3.

Now, the common factors can be found like this.

12:2x 2x 3

18:2x 3x 3

27:3x 3x 3

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 5832/(3x18)

LCM = 5832/54

LCM = 108

Thus, we can understand that the LCM of 12,18,27 is 108.

Here are some samples of LCM of two or more Numbers calculations.