Know Least Common Multiple of fractions 160/48, 180/72, 240/132 quickly i.e. 120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 160/48, 180/72, 240/132 is **120**.

LCM(160/48, 180/72, 240/132) = 120

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

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

Given numbers are 160/48,180/72,240/132

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 160,180,240

Least Common Multiple of Numerators i.e. LCM of 160,180,240 is 1440.

GCF of Denominators means GCF of 48,72,132 as per the given fractions.

GCF of 48,72,132 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 160,180,240

2 | 160, 180, 240 |

2 | 80, 90, 120 |

2 | 40, 45, 60 |

2 | 20, 45, 30 |

3 | 10, 45, 15 |

5 | 10, 5, 15 |

2, 1, 3 |

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 2 x 1 x 3 = 1440

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 160,180,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,180,240) = 20

common factors(in case of two or more numbers have common factors) = 240

GCF(160,180,240) x common factors =20 x 240 = 4800

LCM(160,180,240) = ( 160 × 180 × 240 ) / 4800

LCM(160,180,240) = 6912000 / 4800

LCM(160,180,240) = 1440

Lets's calculate GCF of 48,72,132

2 | 48, 72, 132 |

2 | 24, 36, 66 |

3 | 12, 18, 33 |

4, 6, 11 |

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1440/12

Therefore the LCM of Fractions 160/48,180/72,240/132 is 120

**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 72**

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

**Factors of 132**

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

**Greatest Common Factor**

We found the factors 48,72,132 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 48,72,132 ** 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 160/48, 180/72, 240/132?

Answer: LCM of Numerators as per given numbers 160/48, 180/72, 240/132 is

LCM of Numerators i.e. for 160,180,240 is 1440

GCF of denominators i.e. for 48,72,132 is 12.

Thus, LCM of Fractions is 120.Finally, LCM of Fractions for 160/48, 180/72, 240/132 is 120.