Know Least Common Multiple of fractions 15/32, 20/36, 25/48, 30/64 quickly i.e. 75 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/32, 20/36, 25/48, 30/64 is **75**.

LCM(15/32, 20/36, 25/48, 30/64) = 75

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

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

Given numbers are 15/32,20/36,25/48,30/64

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 15,20,25,30

Least Common Multiple of Numerators i.e. LCM of 15,20,25,30 is 300.

GCF of Denominators means GCF of 32,36,48,64 as per the given fractions.

GCF of 32,36,48,64 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,20,25,30

2 | 15, 20, 25, 30 |

3 | 15, 10, 25, 15 |

5 | 5, 10, 25, 5 |

1, 2, 1, 5 |

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 2 x 1 x 5 = 300

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 15,20,25,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,20,25,30) = 5

common factors(in case of two or more numbers have common factors) = 150

GCF(15,20,25,30) x common factors =5 x 150 = 750

LCM(15,20,25,30) = ( 15 × 20 × 25 × 30 ) / 750

LCM(15,20,25,30) = 225000 / 750

LCM(15,20,25,30) = 300

Lets's calculate GCF of 32,36,48,64

2 | 32, 36, 48, 64 |

2 | 16, 18, 24, 32 |

8, 9, 12, 16 |

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 300/4

Therefore the LCM of Fractions 15/32,20/36,25/48,30/64 is 75

**Factors of 32**

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

1,2,4,8,16,32

**Factors of 36**

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

**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 64**

List of positive integer factors of 64 that divides 64 without a remainder.

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

**Greatest Common Factor**

We found the factors 32,36,48,64 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 32,36,48,64 ** is **4**.

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 15/32, 20/36, 25/48, 30/64?

Answer: LCM of Numerators as per given numbers 15/32, 20/36, 25/48, 30/64 is

LCM of Numerators i.e. for 15,20,25,30 is 300

GCF of denominators i.e. for 32,36,48,64 is 4.

Thus, LCM of Fractions is 75.Finally, LCM of Fractions for 15/32, 20/36, 25/48, 30/64 is 75.