Least Common Multiple of 79/571, 31/164, 427/521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 79/571, 31/164, 427/521 quickly i.e. 1045723 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/571, 31/164, 427/521 is 1045723.

LCM(79/571, 31/164, 427/521) = 1045723

LCM of 79/571, 31/164, 427/521

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 79/571,31/164,427/521

Given numbers are 79/571,31/164,427/521

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 79,31,427

Least Common Multiple of Numerators i.e. LCM of 79,31,427 is 1045723.

GCF of Denominators means GCF of 571,164,521 as per the given fractions.

GCF of 571,164,521 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,31,427

LCM of Fractions 79/571,31/164,427/521 is 1045723

Given numbers has no common factors except 1. So, there LCM is their product i.e 1045723

Least Common Multiple of 79,31,427 with GCF Formula

Least Common Multiple of 79,31,427 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 79,31,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,31,427) = 1

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

GCF(79,31,427) x common factors =1 x 1 = 1

LCM(79,31,427) = ( 79 × 31 × 427 ) / 1

LCM(79,31,427) = 1045723 / 1

LCM(79,31,427) = 1045723


Lets's calculate GCF of 571,164,521

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1045723/1

Therefore the LCM of Fractions 79/571,31/164,427/521 is 1045723

Greatest Common Factor of 571,164,521 By Matching Biggest Common Factor Method

Greatest Common Factor of 571,164,521 By Matching Biggest Common Factor Method

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Greatest Common Factor

We found the factors 571,164,521 . The biggest common factor number is the GCF number.
So the greatest common factor 571,164,521 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 79/571, 31/164, 427/521

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 79/571, 31/164, 427/521?

Answer: LCM of Numerators as per given numbers 79/571, 31/164, 427/521 is

LCM of Numerators i.e. for 79,31,427 is 1045723

GCF of denominators i.e. for 571,164,521 is 1.

Thus, LCM of Fractions is 1045723.Finally, LCM of Fractions for 79/571, 31/164, 427/521 is 1045723.