Know Least Common Multiple of fractions 8/96, 12/120, 23/180 quickly i.e. 46 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/96, 12/120, 23/180 is **46**.

LCM(8/96, 12/120, 23/180) = 46

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

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

Given numbers are 8/96,12/120,23/180

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 8,12,23

Least Common Multiple of Numerators i.e. LCM of 8,12,23 is 552.

GCF of Denominators means GCF of 96,120,180 as per the given fractions.

GCF of 96,120,180 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,12,23

2 | 8, 12, 23 |

2 | 4, 6, 23 |

2, 3, 23 |

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 23 = 552

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 8,12,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,12,23) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(8,12,23) x common factors =1 x 4 = 4

LCM(8,12,23) = ( 8 × 12 × 23 ) / 4

LCM(8,12,23) = 2208 / 4

LCM(8,12,23) = 552

Lets's calculate GCF of 96,120,180

2 | 96, 120, 180 |

2 | 48, 60, 90 |

3 | 24, 30, 45 |

8, 10, 15 |

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 552/12

Therefore the LCM of Fractions 8/96,12/120,23/180 is 46

**Factors of 96**

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

**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

**Factors of 180**

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

**Greatest Common Factor**

We found the factors 96,120,180 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 96,120,180 ** is **12**.

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 8/96, 12/120, 23/180?

Answer: LCM of Numerators as per given numbers 8/96, 12/120, 23/180 is

LCM of Numerators i.e. for 8,12,23 is 552

GCF of denominators i.e. for 96,120,180 is 12.

Thus, LCM of Fractions is 46.Finally, LCM of Fractions for 8/96, 12/120, 23/180 is 46.