Least Common Multiple of 71/477, 940/591, 853/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/477, 940/591, 853/590 quickly i.e. 56929220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/477, 940/591, 853/590 is 56929220.

LCM(71/477, 940/591, 853/590) = 56929220

LCM of 71/477, 940/591, 853/590

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 71/477,940/591,853/590

Given numbers are 71/477,940/591,853/590

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 71,940,853

Least Common Multiple of Numerators i.e. LCM of 71,940,853 is 56929220.

GCF of Denominators means GCF of 477,591,590 as per the given fractions.

GCF of 477,591,590 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,940,853

LCM of Fractions 71/477,940/591,853/590 is 56929220

Given numbers has no common factors except 1. So, there LCM is their product i.e 56929220

Least Common Multiple of 71,940,853 with GCF Formula

Least Common Multiple of 71,940,853 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 71,940,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,940,853) = 1

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

GCF(71,940,853) x common factors =1 x 1 = 1

LCM(71,940,853) = ( 71 × 940 × 853 ) / 1

LCM(71,940,853) = 56929220 / 1

LCM(71,940,853) = 56929220


Lets's calculate GCF of 477,591,590

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56929220/1

Therefore the LCM of Fractions 71/477,940/591,853/590 is 56929220

Greatest Common Factor of 477,591,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,591,590 By Matching Biggest Common Factor Method

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 477,591,590 . The biggest common factor number is the GCF number.
So the greatest common factor 477,591,590 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 71/477, 940/591, 853/590

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 71/477, 940/591, 853/590?

Answer: LCM of Numerators as per given numbers 71/477, 940/591, 853/590 is

LCM of Numerators i.e. for 71,940,853 is 56929220

GCF of denominators i.e. for 477,591,590 is 1.

Thus, LCM of Fractions is 56929220.Finally, LCM of Fractions for 71/477, 940/591, 853/590 is 56929220.