Know Least Common Multiple of fractions 4/48, 7/84, 8/91, 16/120 quickly i.e. 112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4/48, 7/84, 8/91, 16/120 is **112**.

LCM(4/48, 7/84, 8/91, 16/120) = 112

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

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

Given numbers are 4/48,7/84,8/91,16/120

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 4,7,8,16

Least Common Multiple of Numerators i.e. LCM of 4,7,8,16 is 112.

GCF of Denominators means GCF of 48,84,91,120 as per the given fractions.

GCF of 48,84,91,120 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4,7,8,16

2 | 4, 7, 8, 16 |

2 | 2, 7, 4, 8 |

2 | 1, 7, 2, 4 |

1, 7, 1, 2 |

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 7 x 1 x 2 = 112

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 4,7,8,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,7,8,16) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(4,7,8,16) x common factors =1 x 32 = 32

LCM(4,7,8,16) = ( 4 × 7 × 8 × 16 ) / 32

LCM(4,7,8,16) = 3584 / 32

LCM(4,7,8,16) = 112

Lets's calculate GCF of 48,84,91,120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112/1

Therefore the LCM of Fractions 4/48,7/84,8/91,16/120 is 112

**Factors of 48**

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

**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 91**

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

**Factors of 120**

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

**Greatest Common Factor**

We found the factors 48,84,91,120 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 48,84,91,120 ** 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 4/48, 7/84, 8/91, 16/120?

Answer: LCM of Numerators as per given numbers 4/48, 7/84, 8/91, 16/120 is

LCM of Numerators i.e. for 4,7,8,16 is 112

GCF of denominators i.e. for 48,84,91,120 is 1.

Thus, LCM of Fractions is 112.Finally, LCM of Fractions for 4/48, 7/84, 8/91, 16/120 is 112.