Know Least Common Multiple of fractions 12/32, 15/44, 18/65, 36/128 quickly i.e. 180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/32, 15/44, 18/65, 36/128 is **180**.

LCM(12/32, 15/44, 18/65, 36/128) = 180

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

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

Given numbers are 12/32,15/44,18/65,36/128

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 12,15,18,36

Least Common Multiple of Numerators i.e. LCM of 12,15,18,36 is 180.

GCF of Denominators means GCF of 32,44,65,128 as per the given fractions.

GCF of 32,44,65,128 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,15,18,36

2 | 12, 15, 18, 36 |

2 | 6, 15, 9, 18 |

3 | 3, 15, 9, 9 |

3 | 1, 5, 3, 3 |

1, 5, 1, 1 |

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 5 x 1 x 1 = 180

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 12,15,18,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,15,18,36) = 3

common factors(in case of two or more numbers have common factors) = 216

GCF(12,15,18,36) x common factors =3 x 216 = 648

LCM(12,15,18,36) = ( 12 × 15 × 18 × 36 ) / 648

LCM(12,15,18,36) = 116640 / 648

LCM(12,15,18,36) = 180

Lets's calculate GCF of 32,44,65,128

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180/1

Therefore the LCM of Fractions 12/32,15/44,18/65,36/128 is 180

**Factors of 32**

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

**Factors of 44**

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

**Factors of 65**

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

**Factors of 128**

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

**Greatest Common Factor**

We found the factors 32,44,65,128 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 32,44,65,128 ** 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 12/32, 15/44, 18/65, 36/128?

Answer: LCM of Numerators as per given numbers 12/32, 15/44, 18/65, 36/128 is

LCM of Numerators i.e. for 12,15,18,36 is 180

GCF of denominators i.e. for 32,44,65,128 is 1.

Thus, LCM of Fractions is 180.Finally, LCM of Fractions for 12/32, 15/44, 18/65, 36/128 is 180.