Least Common Multiple of 8231/852, 9589/5729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8231/852, 9589/5729 quickly i.e. 78927059 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8231/852, 9589/5729 is 78927059.

LCM(8231/852, 9589/5729) = 78927059

LCM of 8231/852, 9589/5729

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 8231/852,9589/5729

Given numbers are 8231/852,9589/5729

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 8231,9589

Least Common Multiple of Numerators i.e. LCM of 8231,9589 is 78927059.

GCF of Denominators means GCF of 852,5729 as per the given fractions.

GCF of 852,5729 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8231,9589

LCM of Fractions 8231/852,9589/5729 is 78927059

Given numbers has no common factors except 1. So, there LCM is their product i.e 78927059

Least Common Multiple of 8231,9589 with GCF Formula

Least Common Multiple of 8231,9589 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 8231,9589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8231,9589) = 1

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

GCF(8231,9589) x common factors =1 x 1 = 1

LCM(8231,9589) = ( 8231 × 9589 ) / 1

LCM(8231,9589) = 78927059 / 1

LCM(8231,9589) = 78927059


Lets's calculate GCF of 852,5729

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78927059/1

Therefore the LCM of Fractions 8231/852,9589/5729 is 78927059

Greatest Common Factor of 852,5729 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,5729 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 5729

List of positive integer factors of 5729 that divides 5729 without a remainder.

1,17,337,5729

Greatest Common Factor

We found the factors 852,5729 . The biggest common factor number is the GCF number.
So the greatest common factor 852,5729 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 8231/852, 9589/5729

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 8231/852, 9589/5729?

Answer: LCM of Numerators as per given numbers 8231/852, 9589/5729 is

LCM of Numerators i.e. for 8231,9589 is 78927059

GCF of denominators i.e. for 852,5729 is 1.

Thus, LCM of Fractions is 78927059.Finally, LCM of Fractions for 8231/852, 9589/5729 is 78927059.