Least Common Multiple of 9759/531, 9792/9710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9759/531, 9792/9710 quickly i.e. 31853376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9759/531, 9792/9710 is 31853376.

LCM(9759/531, 9792/9710) = 31853376

LCM of 9759/531, 9792/9710

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 9759/531,9792/9710

Given numbers are 9759/531,9792/9710

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 9759,9792

Least Common Multiple of Numerators i.e. LCM of 9759,9792 is 31853376.

GCF of Denominators means GCF of 531,9710 as per the given fractions.

GCF of 531,9710 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9759,9792

LCM of Fractions 9759/531,9792/9710 is 31853376

3 9759, 9792
3253, 3264

∴ So the LCM of the given numbers is 3 x 3253 x 3264 = 31853376

Least Common Multiple of 9759,9792 with GCF Formula

Least Common Multiple of 9759,9792 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 9759,9792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9759,9792) = 3

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

GCF(9759,9792) x common factors =3 x 1 = 3

LCM(9759,9792) = ( 9759 × 9792 ) / 3

LCM(9759,9792) = 95560128 / 3

LCM(9759,9792) = 31853376


Lets's calculate GCF of 531,9710

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31853376/1

Therefore the LCM of Fractions 9759/531,9792/9710 is 31853376

Greatest Common Factor of 531,9710 By Matching Biggest Common Factor Method

Greatest Common Factor of 531,9710 By Matching Biggest Common Factor Method

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 9710

List of positive integer factors of 9710 that divides 9710 without a remainder.

1,2,5,10,971,1942,4855,9710

Greatest Common Factor

We found the factors 531,9710 . The biggest common factor number is the GCF number.
So the greatest common factor 531,9710 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 9759/531, 9792/9710

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 9759/531, 9792/9710?

Answer: LCM of Numerators as per given numbers 9759/531, 9792/9710 is

LCM of Numerators i.e. for 9759,9792 is 31853376

GCF of denominators i.e. for 531,9710 is 1.

Thus, LCM of Fractions is 31853376.Finally, LCM of Fractions for 9759/531, 9792/9710 is 31853376.