Least Common Multiple of 6334/856, 8898/9342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6334/856, 8898/9342 quickly i.e. 14089983 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6334/856, 8898/9342 is 14089983.

LCM(6334/856, 8898/9342) = 14089983

LCM of 6334/856, 8898/9342

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 6334/856,8898/9342

Given numbers are 6334/856,8898/9342

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 6334,8898

Least Common Multiple of Numerators i.e. LCM of 6334,8898 is 28179966.

GCF of Denominators means GCF of 856,9342 as per the given fractions.

GCF of 856,9342 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6334,8898

LCM of Fractions 6334/856,8898/9342 is 14089983

2 6334, 8898
3167, 4449

∴ So the LCM of the given numbers is 2 x 3167 x 4449 = 28179966

Least Common Multiple of 6334,8898 with GCF Formula

Least Common Multiple of 6334,8898 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 6334,8898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6334,8898) = 2

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

GCF(6334,8898) x common factors =2 x 1 = 2

LCM(6334,8898) = ( 6334 × 8898 ) / 2

LCM(6334,8898) = 56359932 / 2

LCM(6334,8898) = 28179966


Lets's calculate GCF of 856,9342

2 856, 9342
428, 4671

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28179966/2

Therefore the LCM of Fractions 6334/856,8898/9342 is 14089983

Greatest Common Factor of 856,9342 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,9342 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 9342

List of positive integer factors of 9342 that divides 9342 without a remainder.

1,2,3,6,9,18,27,54,173,346,519,1038,1557,3114,4671,9342

Greatest Common Factor

We found the factors 856,9342 . The biggest common factor number is the GCF number.
So the greatest common factor 856,9342 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6334/856, 8898/9342

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 6334/856, 8898/9342?

Answer: LCM of Numerators as per given numbers 6334/856, 8898/9342 is

LCM of Numerators i.e. for 6334,8898 is 28179966

GCF of denominators i.e. for 856,9342 is 2.

Thus, LCM of Fractions is 14089983.Finally, LCM of Fractions for 6334/856, 8898/9342 is 14089983.