Know Least Common Multiple of fractions 10/36, 12/60, 20/84, 25/108 quickly i.e. 25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/36, 12/60, 20/84, 25/108 is **25**.

LCM(10/36, 12/60, 20/84, 25/108) = 25

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

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

Given numbers are 10/36,12/60,20/84,25/108

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 10,12,20,25

Least Common Multiple of Numerators i.e. LCM of 10,12,20,25 is 300.

GCF of Denominators means GCF of 36,60,84,108 as per the given fractions.

GCF of 36,60,84,108 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,12,20,25

2 | 10, 12, 20, 25 |

2 | 5, 6, 10, 25 |

5 | 5, 3, 5, 25 |

1, 3, 1, 5 |

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 3 x 1 x 5 = 300

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 10,12,20,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,12,20,25) = 1

common factors(in case of two or more numbers have common factors) = 200

GCF(10,12,20,25) x common factors =1 x 200 = 200

LCM(10,12,20,25) = ( 10 × 12 × 20 × 25 ) / 200

LCM(10,12,20,25) = 60000 / 200

LCM(10,12,20,25) = 300

Lets's calculate GCF of 36,60,84,108

2 | 36, 60, 84, 108 |

2 | 18, 30, 42, 54 |

3 | 9, 15, 21, 27 |

3, 5, 7, 9 |

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 300/12

Therefore the LCM of Fractions 10/36,12/60,20/84,25/108 is 25

**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 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

**Factors of 84**

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

**Factors of 108**

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

**Greatest Common Factor**

We found the factors 36,60,84,108 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 36,60,84,108 ** is **12**.

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 10/36, 12/60, 20/84, 25/108?

Answer: LCM of Numerators as per given numbers 10/36, 12/60, 20/84, 25/108 is

LCM of Numerators i.e. for 10,12,20,25 is 300

GCF of denominators i.e. for 36,60,84,108 is 12.

Thus, LCM of Fractions is 25.Finally, LCM of Fractions for 10/36, 12/60, 20/84, 25/108 is 25.