Least Common Multiple of 56/220, 79/342, 173/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/220, 79/342, 173/359 quickly i.e. 765352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/220, 79/342, 173/359 is 765352.

LCM(56/220, 79/342, 173/359) = 765352

LCM of 56/220, 79/342, 173/359

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 56/220,79/342,173/359

Given numbers are 56/220,79/342,173/359

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 56,79,173

Least Common Multiple of Numerators i.e. LCM of 56,79,173 is 765352.

GCF of Denominators means GCF of 220,342,359 as per the given fractions.

GCF of 220,342,359 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,79,173

LCM of Fractions 56/220,79/342,173/359 is 765352

Given numbers has no common factors except 1. So, there LCM is their product i.e 765352

Least Common Multiple of 56,79,173 with GCF Formula

Least Common Multiple of 56,79,173 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 56,79,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,79,173) = 1

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

GCF(56,79,173) x common factors =1 x 1 = 1

LCM(56,79,173) = ( 56 × 79 × 173 ) / 1

LCM(56,79,173) = 765352 / 1

LCM(56,79,173) = 765352


Lets's calculate GCF of 220,342,359

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 765352/1

Therefore the LCM of Fractions 56/220,79/342,173/359 is 765352

Greatest Common Factor of 220,342,359 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,342,359 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Greatest Common Factor

We found the factors 220,342,359 . The biggest common factor number is the GCF number.
So the greatest common factor 220,342,359 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 56/220, 79/342, 173/359

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 56/220, 79/342, 173/359?

Answer: LCM of Numerators as per given numbers 56/220, 79/342, 173/359 is

LCM of Numerators i.e. for 56,79,173 is 765352

GCF of denominators i.e. for 220,342,359 is 1.

Thus, LCM of Fractions is 765352.Finally, LCM of Fractions for 56/220, 79/342, 173/359 is 765352.