Least Common Multiple of 20/55, 87/54, 179/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/55, 87/54, 179/75 quickly i.e. 311460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/55, 87/54, 179/75 is 311460.

LCM(20/55, 87/54, 179/75) = 311460

LCM of 20/55, 87/54, 179/75

Enter two or more fractions separated by "commas"

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

LCM of:

Least Common Multiple of 20/55,87/54,179/75

Given numbers are 20/55,87/54,179/75

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 20,87,179

Least Common Multiple of Numerators i.e. LCM of 20,87,179 is 311460.

GCF of Denominators means GCF of 55,54,75 as per the given fractions.

GCF of 55,54,75 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,87,179

LCM of Fractions 20/55,87/54,179/75 is 311460

Given numbers has no common factors except 1. So, there LCM is their product i.e 311460

Least Common Multiple of 20,87,179 with GCF Formula

Least Common Multiple of 20,87,179 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 20,87,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,87,179) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(20,87,179) x common factors =1 x 1 = 1

LCM(20,87,179) = ( 20 × 87 × 179 ) / 1

LCM(20,87,179) = 311460 / 1

LCM(20,87,179) = 311460


Lets's calculate GCF of 55,54,75

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 311460/1

Therefore the LCM of Fractions 20/55,87/54,179/75 is 311460

Greatest Common Factor of 55,54,75 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,54,75 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 54

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

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

Factors of 75

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

1,3,5,15,25,75

Greatest Common Factor

We found the factors 55,54,75 . The biggest common factor number is the GCF number.
So the greatest common factor 55,54,75 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 20/55, 87/54, 179/75

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 20/55, 87/54, 179/75?

Answer: LCM of Numerators as per given numbers 20/55, 87/54, 179/75 is

LCM of Numerators i.e. for 20,87,179 is 311460

GCF of denominators i.e. for 55,54,75 is 1.

Thus, LCM of Fractions is 311460.Finally, LCM of Fractions for 20/55, 87/54, 179/75 is 311460.