# Least Common Multiple of 54/30, 90/75, 108/180

Know Least Common Multiple of fractions 54/30, 90/75, 108/180 quickly i.e. 36 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/30, 90/75, 108/180 is 36.

LCM(54/30, 90/75, 108/180) = 36

## LCM of 54/30, 90/75, 108/180

Enter two or more fractions separated by "commas"

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

LCM of:

Given numbers are 54/30,90/75,108/180

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 54,90,108

Least Common Multiple of Numerators i.e. LCM of 54,90,108 is 540.

GCF of Denominators means GCF of 30,75,180 as per the given fractions.

GCF of 30,75,180 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,90,108

### Least Common Multiple (LCM) of 54,90,108 By Common Division

 2 54, 90, 108 3 27, 45, 54 3 9, 15, 18 3 3, 5, 6 1, 5, 2

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 5 x 2 = 540

Least Common Multiple of 54,90,108 with GCF Formula

### Least Common Multiple of 54,90,108 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 54,90,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,90,108) = 18

common factors(in case of two or more numbers have common factors) = 54

GCF(54,90,108) x common factors =18 x 54 = 972

LCM(54,90,108) = ( 54 × 90 × 108 ) / 972

LCM(54,90,108) = 524880 / 972

LCM(54,90,108) = 540

Lets's calculate GCF of 30,75,180

### Greatest Common Factor (GCF) of 30,75,180 By Common Division

 3 30, 75, 180 5 10, 25, 60 2, 5, 12

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 540/15

Therefore the LCM of Fractions 54/30,90/75,108/180 is 36

Greatest Common Factor of 30,75,180 By Matching Biggest Common Factor Method

### Greatest Common Factor of 30,75,180 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

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 30,75,180 . The biggest common factor number is the GCF number.
So the greatest common factor 30,75,180 is 15.

### LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

### Frequently Asked Questions on Fractional LCM of 54/30, 90/75, 108/180

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 54/30, 90/75, 108/180?

Answer: LCM of Numerators as per given numbers 54/30, 90/75, 108/180 is

LCM of Numerators i.e. for 54,90,108 is 540

GCF of denominators i.e. for 30,75,180 is 15.

Thus, LCM of Fractions is 36.Finally, LCM of Fractions for 54/30, 90/75, 108/180 is 36.