Know Least Common Multiple of fractions 9/27, 28/36, 42/45, 48/56 quickly i.e. 1008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/27, 28/36, 42/45, 48/56 is **1008**.

LCM(9/27, 28/36, 42/45, 48/56) = 1008

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

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

Given numbers are 9/27,28/36,42/45,48/56

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 9,28,42,48

Least Common Multiple of Numerators i.e. LCM of 9,28,42,48 is 1008.

GCF of Denominators means GCF of 27,36,45,56 as per the given fractions.

GCF of 27,36,45,56 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,28,42,48

2 | 9, 28, 42, 48 |

2 | 9, 14, 21, 24 |

3 | 9, 7, 21, 12 |

7 | 3, 7, 7, 4 |

3, 1, 1, 4 |

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 3 x 1 x 1 x 4 = 1008

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 9,28,42,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,28,42,48) = 1

common factors(in case of two or more numbers have common factors) = 504

GCF(9,28,42,48) x common factors =1 x 504 = 504

LCM(9,28,42,48) = ( 9 × 28 × 42 × 48 ) / 504

LCM(9,28,42,48) = 508032 / 504

LCM(9,28,42,48) = 1008

Lets's calculate GCF of 27,36,45,56

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1008/1

Therefore the LCM of Fractions 9/27,28/36,42/45,48/56 is 1008

**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 45**

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

**Factors of 56**

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

**Greatest Common Factor**

We found the factors 27,36,45,56 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 27,36,45,56 ** is **1**.

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 9/27, 28/36, 42/45, 48/56?

Answer: LCM of Numerators as per given numbers 9/27, 28/36, 42/45, 48/56 is

LCM of Numerators i.e. for 9,28,42,48 is 1008

GCF of denominators i.e. for 27,36,45,56 is 1.

Thus, LCM of Fractions is 1008.Finally, LCM of Fractions for 9/27, 28/36, 42/45, 48/56 is 1008.