Know Least Common Multiple of fractions 8/27, 56/36, 140/90 quickly i.e. 280/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/27, 56/36, 140/90 is **280/9**.

LCM(8/27, 56/36, 140/90) = 280/9

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

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

Given numbers are 8/27,56/36,140/90

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 8,56,140

Least Common Multiple of Numerators i.e. LCM of 8,56,140 is 280.

GCF of Denominators means GCF of 27,36,90 as per the given fractions.

GCF of 27,36,90 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,56,140

2 | 8, 56, 140 |

2 | 4, 28, 70 |

2 | 2, 14, 35 |

7 | 1, 7, 35 |

1, 1, 5 |

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 1 x 5 = 280

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 8,56,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,56,140) = 4

common factors(in case of two or more numbers have common factors) = 56

GCF(8,56,140) x common factors =4 x 56 = 224

LCM(8,56,140) = ( 8 × 56 × 140 ) / 224

LCM(8,56,140) = 62720 / 224

LCM(8,56,140) = 280

Lets's calculate GCF of 27,36,90

3 | 27, 36, 90 |

3 | 9, 12, 30 |

3, 4, 10 |

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 280/9

Therefore the LCM of Fractions 8/27,56/36,140/90 is 280/9

**Factors of 27**

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

**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 90**

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

**Greatest Common Factor**

We found the factors 27,36,90 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 27,36,90 ** 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 8/27, 56/36, 140/90?

Answer: LCM of Numerators as per given numbers 8/27, 56/36, 140/90 is

LCM of Numerators i.e. for 8,56,140 is 280

GCF of denominators i.e. for 27,36,90 is 9.

Thus, LCM of Fractions is 280/9.Finally, LCM of Fractions for 8/27, 56/36, 140/90 is 280/9.