**Created By :**
Jatin Gogia

**Reviewed By :**
Rajasekhar Valipishetty

**Last Updated :**
Apr 06, 2023

Know Least Common Multiple of fractions 11/18, 12/36, 19/63, 40/120 quickly i.e. 8360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/18, 12/36, 19/63, 40/120 is **8360**.

LCM(11/18, 12/36, 19/63, 40/120) = 8360

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

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

Given numbers are 11/18,12/36,19/63,40/120

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 11,12,19,40

Least Common Multiple of Numerators i.e. LCM of 11,12,19,40 is 25080.

GCF of Denominators means GCF of 18,36,63,120 as per the given fractions.

GCF of 18,36,63,120 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,12,19,40

2 | 11, 12, 19, 40 |

2 | 11, 6, 19, 20 |

11, 3, 19, 10 |

∴ So the LCM of the given numbers is 2 x 2 x 11 x 3 x 19 x 10 = 25080

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 11,12,19,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,12,19,40) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(11,12,19,40) x common factors =1 x 4 = 4

LCM(11,12,19,40) = ( 11 × 12 × 19 × 40 ) / 4

LCM(11,12,19,40) = 100320 / 4

LCM(11,12,19,40) = 25080

Lets's calculate GCF of 18,36,63,120

3 | 18, 36, 63, 120 |

6, 12, 21, 40 |

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25080/3

Therefore the LCM of Fractions 11/18,12/36,19/63,40/120 is 8360

**Factors of 18**

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

1,2,3,6,9,18

**Factors of 36**

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

**Factors of 63**

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

**Factors of 120**

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

**Greatest Common Factor**

We found the factors 18,36,63,120 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 18,36,63,120 ** is **3**.

Here are some samples of LCM of Fractions calculations.

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 11/18, 12/36, 19/63, 40/120?

Answer: LCM of Numerators as per given numbers 11/18, 12/36, 19/63, 40/120 is

LCM of Numerators i.e. for 11,12,19,40 is 25080

GCF of denominators i.e. for 18,36,63,120 is 3.

Thus, LCM of Fractions is 8360.Finally, LCM of Fractions for 11/18, 12/36, 19/63, 40/120 is 8360.