Least Common Multiple of 9717/592, 6288/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9717/592, 6288/538 quickly i.e. 10183416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9717/592, 6288/538 is 10183416.

LCM(9717/592, 6288/538) = 10183416

LCM of 9717/592, 6288/538

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 9717/592,6288/538

Given numbers are 9717/592,6288/538

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 9717,6288

Least Common Multiple of Numerators i.e. LCM of 9717,6288 is 20366832.

GCF of Denominators means GCF of 592,538 as per the given fractions.

GCF of 592,538 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9717,6288

LCM of Fractions 9717/592,6288/538 is 10183416

3 9717, 6288
3239, 2096

∴ So the LCM of the given numbers is 3 x 3239 x 2096 = 20366832

Least Common Multiple of 9717,6288 with GCF Formula

Least Common Multiple of 9717,6288 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 9717,6288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9717,6288) = 3

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

GCF(9717,6288) x common factors =3 x 1 = 3

LCM(9717,6288) = ( 9717 × 6288 ) / 3

LCM(9717,6288) = 61100496 / 3

LCM(9717,6288) = 20366832


Lets's calculate GCF of 592,538

2 592, 538
296, 269

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20366832/2

Therefore the LCM of Fractions 9717/592,6288/538 is 10183416

Greatest Common Factor of 592,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,538 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 592,538 . The biggest common factor number is the GCF number.
So the greatest common factor 592,538 is 2.


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 9717/592, 6288/538

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 9717/592, 6288/538?

Answer: LCM of Numerators as per given numbers 9717/592, 6288/538 is

LCM of Numerators i.e. for 9717,6288 is 20366832

GCF of denominators i.e. for 592,538 is 2.

Thus, LCM of Fractions is 10183416.Finally, LCM of Fractions for 9717/592, 6288/538 is 10183416.