Know Least Common Multiple of fractions 10/12, 15/24, 18/32, 32/54 quickly i.e. 720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/12, 15/24, 18/32, 32/54 is **720**.

LCM(10/12, 15/24, 18/32, 32/54) = 720

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

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

Given numbers are 10/12,15/24,18/32,32/54

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 10,15,18,32

Least Common Multiple of Numerators i.e. LCM of 10,15,18,32 is 1440.

GCF of Denominators means GCF of 12,24,32,54 as per the given fractions.

GCF of 12,24,32,54 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,15,18,32

2 | 10, 15, 18, 32 |

3 | 5, 15, 9, 16 |

5 | 5, 5, 3, 16 |

1, 1, 3, 16 |

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 1 x 3 x 16 = 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 10,15,18,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,15,18,32) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(10,15,18,32) x common factors =1 x 60 = 60

LCM(10,15,18,32) = ( 10 × 15 × 18 × 32 ) / 60

LCM(10,15,18,32) = 86400 / 60

LCM(10,15,18,32) = 1440

Lets's calculate GCF of 12,24,32,54

2 | 12, 24, 32, 54 |

6, 12, 16, 27 |

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1440/2

Therefore the LCM of Fractions 10/12,15/24,18/32,32/54 is 720

**Factors of 12**

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

**Factors of 24**

List of positive integer factors of 24 that divides 24 without a remainder.

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

**Factors of 32**

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

1,2,4,8,16,32

**Factors of 54**

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

**Greatest Common Factor**

We found the factors 12,24,32,54 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 12,24,32,54 ** is **2**.

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 10/12, 15/24, 18/32, 32/54?

Answer: LCM of Numerators as per given numbers 10/12, 15/24, 18/32, 32/54 is

LCM of Numerators i.e. for 10,15,18,32 is 1440

GCF of denominators i.e. for 12,24,32,54 is 2.

Thus, LCM of Fractions is 720.Finally, LCM of Fractions for 10/12, 15/24, 18/32, 32/54 is 720.