Least Common Multiple of 572/717, 1539/6904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 572/717, 1539/6904 quickly i.e. 880308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 572/717, 1539/6904 is 880308.

LCM(572/717, 1539/6904) = 880308

LCM of 572/717, 1539/6904

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 572/717,1539/6904

Given numbers are 572/717,1539/6904

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 572,1539

Least Common Multiple of Numerators i.e. LCM of 572,1539 is 880308.

GCF of Denominators means GCF of 717,6904 as per the given fractions.

GCF of 717,6904 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 572,1539

LCM of Fractions 572/717,1539/6904 is 880308

Given numbers has no common factors except 1. So, there LCM is their product i.e 880308

Least Common Multiple of 572,1539 with GCF Formula

Least Common Multiple of 572,1539 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 572,1539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,1539) = 1

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

GCF(572,1539) x common factors =1 x 1 = 1

LCM(572,1539) = ( 572 × 1539 ) / 1

LCM(572,1539) = 880308 / 1

LCM(572,1539) = 880308


Lets's calculate GCF of 717,6904

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 880308/1

Therefore the LCM of Fractions 572/717,1539/6904 is 880308

Greatest Common Factor of 717,6904 By Matching Biggest Common Factor Method

Greatest Common Factor of 717,6904 By Matching Biggest Common Factor Method

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 6904

List of positive integer factors of 6904 that divides 6904 without a remainder.

1,2,4,8,863,1726,3452,6904

Greatest Common Factor

We found the factors 717,6904 . The biggest common factor number is the GCF number.
So the greatest common factor 717,6904 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 572/717, 1539/6904

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 572/717, 1539/6904?

Answer: LCM of Numerators as per given numbers 572/717, 1539/6904 is

LCM of Numerators i.e. for 572,1539 is 880308

GCF of denominators i.e. for 717,6904 is 1.

Thus, LCM of Fractions is 880308.Finally, LCM of Fractions for 572/717, 1539/6904 is 880308.