Know Least Common Multiple of fractions 91/36, 117/81, 231/144 quickly i.e. 1001 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/36, 117/81, 231/144 is **1001**.

LCM(91/36, 117/81, 231/144) = 1001

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

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

Given numbers are 91/36,117/81,231/144

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 91,117,231

Least Common Multiple of Numerators i.e. LCM of 91,117,231 is 9009.

GCF of Denominators means GCF of 36,81,144 as per the given fractions.

GCF of 36,81,144 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,117,231

3 | 91, 117, 231 |

7 | 91, 39, 77 |

13 | 13, 39, 11 |

1, 3, 11 |

∴ So the LCM of the given numbers is 3 x 7 x 13 x 1 x 3 x 11 = 9009

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 91,117,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,117,231) = 1

common factors(in case of two or more numbers have common factors) = 273

GCF(91,117,231) x common factors =1 x 273 = 273

LCM(91,117,231) = ( 91 × 117 × 231 ) / 273

LCM(91,117,231) = 2459457 / 273

LCM(91,117,231) = 9009

Lets's calculate GCF of 36,81,144

3 | 36, 81, 144 |

3 | 12, 27, 48 |

4, 9, 16 |

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9009/9

Therefore the LCM of Fractions 91/36,117/81,231/144 is 1001

**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 81**

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

**Factors of 144**

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

**Greatest Common Factor**

We found the factors 36,81,144 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 36,81,144 ** is **9**.

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 91/36, 117/81, 231/144?

Answer: LCM of Numerators as per given numbers 91/36, 117/81, 231/144 is

LCM of Numerators i.e. for 91,117,231 is 9009

GCF of denominators i.e. for 36,81,144 is 9.

Thus, LCM of Fractions is 1001.Finally, LCM of Fractions for 91/36, 117/81, 231/144 is 1001.