Know Least Common Multiple of fractions 108/76, 150/95, 432/133 quickly i.e. 10800/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 108/76, 150/95, 432/133 is **10800/19**.

LCM(108/76, 150/95, 432/133) = 10800/19

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

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

Given numbers are 108/76,150/95,432/133

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 108,150,432

Least Common Multiple of Numerators i.e. LCM of 108,150,432 is 10800.

GCF of Denominators means GCF of 76,95,133 as per the given fractions.

GCF of 76,95,133 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 108,150,432

2 | 108, 150, 432 |

2 | 54, 75, 216 |

3 | 27, 75, 108 |

3 | 9, 25, 36 |

3 | 3, 25, 12 |

1, 25, 4 |

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 1 x 25 x 4 = 10800

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 108,150,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,150,432) = 6

common factors(in case of two or more numbers have common factors) = 108

GCF(108,150,432) x common factors =6 x 108 = 648

LCM(108,150,432) = ( 108 × 150 × 432 ) / 648

LCM(108,150,432) = 6998400 / 648

LCM(108,150,432) = 10800

Lets's calculate GCF of 76,95,133

19 | 76, 95, 133 |

4, 5, 7 |

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10800/19

Therefore the LCM of Fractions 108/76,150/95,432/133 is 10800/19

**Factors of 76**

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

**Factors of 95**

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

**Factors of 133**

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

**Greatest Common Factor**

We found the factors 76,95,133 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 76,95,133 ** is **19**.

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 108/76, 150/95, 432/133?

Answer: LCM of Numerators as per given numbers 108/76, 150/95, 432/133 is

LCM of Numerators i.e. for 108,150,432 is 10800

GCF of denominators i.e. for 76,95,133 is 19.

Thus, LCM of Fractions is 10800/19.Finally, LCM of Fractions for 108/76, 150/95, 432/133 is 10800/19.