Know Least Common Multiple of fractions 9/18, 12/42, 252/60 quickly i.e. 42 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/18, 12/42, 252/60 is **42**.

LCM(9/18, 12/42, 252/60) = 42

Enter two or more fractions separated by **"commas"**

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

Given numbers are 9/18,12/42,252/60

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 9,12,252

Least Common Multiple of Numerators i.e. LCM of 9,12,252 is 252.

GCF of Denominators means GCF of 18,42,60 as per the given fractions.

GCF of 18,42,60 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,12,252

2 | 9, 12, 252 |

2 | 9, 6, 126 |

3 | 9, 3, 63 |

3 | 1, 3, 21 |

1, 1, 7 |

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 1 x 7 = 252

The formula of **LCM** is LCM(a_{1},a_{2},a_{3}....,a_{n}) = ( a_{1} × a_{2} × a_{3} × .... × a_{n}) / GCF(a_{1},a_{2},a_{3}....,a_{n}) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 9,12,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,12,252) = 3

common factors(in case of two or more numbers have common factors) = 36

GCF(9,12,252) x common factors =3 x 36 = 108

LCM(9,12,252) = ( 9 × 12 × 252 ) / 108

LCM(9,12,252) = 27216 / 108

LCM(9,12,252) = 252

Lets's calculate GCF of 18,42,60

2 | 18, 42, 60 |

3 | 9, 21, 30 |

3, 7, 10 |

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 252/6

Therefore the LCM of Fractions 9/18,12/42,252/60 is 42

**Factors of 18**

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

**Factors of 42**

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

**Factors of 60**

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

**Greatest Common Factor**

We found the factors 18,42,60 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 18,42,60 ** is **6**.

Here are some samples of LCM of Fractions calculations.

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 9/18, 12/42, 252/60?

Answer: LCM of Numerators as per given numbers 9/18, 12/42, 252/60 is

LCM of Numerators i.e. for 9,12,252 is 252

GCF of denominators i.e. for 18,42,60 is 6.

Thus, LCM of Fractions is 42.Finally, LCM of Fractions for 9/18, 12/42, 252/60 is 42.