Least Common Multiple of 8723/591, 8796/8361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8723/591, 8796/8361 quickly i.e. 25575836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8723/591, 8796/8361 is 25575836.

LCM(8723/591, 8796/8361) = 25575836

LCM of 8723/591, 8796/8361

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 8723/591,8796/8361

Given numbers are 8723/591,8796/8361

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 8723,8796

Least Common Multiple of Numerators i.e. LCM of 8723,8796 is 76727508.

GCF of Denominators means GCF of 591,8361 as per the given fractions.

GCF of 591,8361 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8723,8796

LCM of Fractions 8723/591,8796/8361 is 25575836

Given numbers has no common factors except 1. So, there LCM is their product i.e 76727508

Least Common Multiple of 8723,8796 with GCF Formula

Least Common Multiple of 8723,8796 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 8723,8796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8723,8796) = 1

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

GCF(8723,8796) x common factors =1 x 1 = 1

LCM(8723,8796) = ( 8723 × 8796 ) / 1

LCM(8723,8796) = 76727508 / 1

LCM(8723,8796) = 76727508


Lets's calculate GCF of 591,8361

3 591, 8361
197, 2787

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76727508/3

Therefore the LCM of Fractions 8723/591,8796/8361 is 25575836

Greatest Common Factor of 591,8361 By Matching Biggest Common Factor Method

Greatest Common Factor of 591,8361 By Matching Biggest Common Factor Method

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Factors of 8361

List of positive integer factors of 8361 that divides 8361 without a remainder.

1,3,9,929,2787,8361

Greatest Common Factor

We found the factors 591,8361 . The biggest common factor number is the GCF number.
So the greatest common factor 591,8361 is 3.


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 8723/591, 8796/8361

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 8723/591, 8796/8361?

Answer: LCM of Numerators as per given numbers 8723/591, 8796/8361 is

LCM of Numerators i.e. for 8723,8796 is 76727508

GCF of denominators i.e. for 591,8361 is 3.

Thus, LCM of Fractions is 25575836.Finally, LCM of Fractions for 8723/591, 8796/8361 is 25575836.