Least Common Multiple of 20/418, 78/721, 179/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/418, 78/721, 179/430 quickly i.e. 139620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/418, 78/721, 179/430 is 139620.

LCM(20/418, 78/721, 179/430) = 139620

LCM of 20/418, 78/721, 179/430

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 20/418,78/721,179/430

Given numbers are 20/418,78/721,179/430

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 20,78,179

Least Common Multiple of Numerators i.e. LCM of 20,78,179 is 139620.

GCF of Denominators means GCF of 418,721,430 as per the given fractions.

GCF of 418,721,430 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,78,179

LCM of Fractions 20/418,78/721,179/430 is 139620

2 20, 78, 179
10, 39, 179

∴ So the LCM of the given numbers is 2 x 10 x 39 x 179 = 139620

Least Common Multiple of 20,78,179 with GCF Formula

Least Common Multiple of 20,78,179 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 20,78,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,78,179) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(20,78,179) x common factors =1 x 2 = 2

LCM(20,78,179) = ( 20 × 78 × 179 ) / 2

LCM(20,78,179) = 279240 / 2

LCM(20,78,179) = 139620


Lets's calculate GCF of 418,721,430

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139620/1

Therefore the LCM of Fractions 20/418,78/721,179/430 is 139620

Greatest Common Factor of 418,721,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,721,430 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 418,721,430 . The biggest common factor number is the GCF number.
So the greatest common factor 418,721,430 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 20/418, 78/721, 179/430

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 20/418, 78/721, 179/430?

Answer: LCM of Numerators as per given numbers 20/418, 78/721, 179/430 is

LCM of Numerators i.e. for 20,78,179 is 139620

GCF of denominators i.e. for 418,721,430 is 1.

Thus, LCM of Fractions is 139620.Finally, LCM of Fractions for 20/418, 78/721, 179/430 is 139620.