Least Common Multiple of 20/585, 4727/5269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 20/585, 4727/5269 quickly i.e. 94540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/585, 4727/5269 is 94540.

LCM(20/585, 4727/5269) = 94540

LCM of 20/585, 4727/5269

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 20/585,4727/5269

Given numbers are 20/585,4727/5269

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 20,4727

Least Common Multiple of Numerators i.e. LCM of 20,4727 is 94540.

GCF of Denominators means GCF of 585,5269 as per the given fractions.

GCF of 585,5269 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,4727

LCM of Fractions 20/585,4727/5269 is 94540

Given numbers has no common factors except 1. So, there LCM is their product i.e 94540

Least Common Multiple of 20,4727 with GCF Formula

Least Common Multiple of 20,4727 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 20,4727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,4727) = 1

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

GCF(20,4727) x common factors =1 x 1 = 1

LCM(20,4727) = ( 20 × 4727 ) / 1

LCM(20,4727) = 94540 / 1

LCM(20,4727) = 94540


Lets's calculate GCF of 585,5269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94540/1

Therefore the LCM of Fractions 20/585,4727/5269 is 94540

Greatest Common Factor of 585,5269 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,5269 By Matching Biggest Common Factor Method

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 5269

List of positive integer factors of 5269 that divides 5269 without a remainder.

1,11,479,5269

Greatest Common Factor

We found the factors 585,5269 . The biggest common factor number is the GCF number.
So the greatest common factor 585,5269 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 20/585, 4727/5269

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 20/585, 4727/5269?

Answer: LCM of Numerators as per given numbers 20/585, 4727/5269 is

LCM of Numerators i.e. for 20,4727 is 94540

GCF of denominators i.e. for 585,5269 is 1.

Thus, LCM of Fractions is 94540.Finally, LCM of Fractions for 20/585, 4727/5269 is 94540.