Least Common Multiple of 8022/686, 8829/7671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8022/686, 8829/7671 quickly i.e. 23608746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8022/686, 8829/7671 is 23608746.

LCM(8022/686, 8829/7671) = 23608746

LCM of 8022/686, 8829/7671

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 8022/686,8829/7671

Given numbers are 8022/686,8829/7671

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 8022,8829

Least Common Multiple of Numerators i.e. LCM of 8022,8829 is 23608746.

GCF of Denominators means GCF of 686,7671 as per the given fractions.

GCF of 686,7671 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8022,8829

LCM of Fractions 8022/686,8829/7671 is 23608746

3 8022, 8829
2674, 2943

∴ So the LCM of the given numbers is 3 x 2674 x 2943 = 23608746

Least Common Multiple of 8022,8829 with GCF Formula

Least Common Multiple of 8022,8829 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 8022,8829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8022,8829) = 3

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

GCF(8022,8829) x common factors =3 x 1 = 3

LCM(8022,8829) = ( 8022 × 8829 ) / 3

LCM(8022,8829) = 70826238 / 3

LCM(8022,8829) = 23608746


Lets's calculate GCF of 686,7671

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23608746/1

Therefore the LCM of Fractions 8022/686,8829/7671 is 23608746

Greatest Common Factor of 686,7671 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,7671 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 7671

List of positive integer factors of 7671 that divides 7671 without a remainder.

1,3,2557,7671

Greatest Common Factor

We found the factors 686,7671 . The biggest common factor number is the GCF number.
So the greatest common factor 686,7671 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 8022/686, 8829/7671

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 8022/686, 8829/7671?

Answer: LCM of Numerators as per given numbers 8022/686, 8829/7671 is

LCM of Numerators i.e. for 8022,8829 is 23608746

GCF of denominators i.e. for 686,7671 is 1.

Thus, LCM of Fractions is 23608746.Finally, LCM of Fractions for 8022/686, 8829/7671 is 23608746.