Least Common Multiple of 6934/281, 8976/4822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6934/281, 8976/4822 quickly i.e. 31119792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6934/281, 8976/4822 is 31119792.

LCM(6934/281, 8976/4822) = 31119792

LCM of 6934/281, 8976/4822

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 6934/281,8976/4822

Given numbers are 6934/281,8976/4822

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 6934,8976

Least Common Multiple of Numerators i.e. LCM of 6934,8976 is 31119792.

GCF of Denominators means GCF of 281,4822 as per the given fractions.

GCF of 281,4822 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6934,8976

LCM of Fractions 6934/281,8976/4822 is 31119792

2 6934, 8976
3467, 4488

∴ So the LCM of the given numbers is 2 x 3467 x 4488 = 31119792

Least Common Multiple of 6934,8976 with GCF Formula

Least Common Multiple of 6934,8976 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 6934,8976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6934,8976) = 2

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

GCF(6934,8976) x common factors =2 x 1 = 2

LCM(6934,8976) = ( 6934 × 8976 ) / 2

LCM(6934,8976) = 62239584 / 2

LCM(6934,8976) = 31119792


Lets's calculate GCF of 281,4822

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31119792/1

Therefore the LCM of Fractions 6934/281,8976/4822 is 31119792

Greatest Common Factor of 281,4822 By Matching Biggest Common Factor Method

Greatest Common Factor of 281,4822 By Matching Biggest Common Factor Method

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Factors of 4822

List of positive integer factors of 4822 that divides 4822 without a remainder.

1,2,2411,4822

Greatest Common Factor

We found the factors 281,4822 . The biggest common factor number is the GCF number.
So the greatest common factor 281,4822 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 6934/281, 8976/4822

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 6934/281, 8976/4822?

Answer: LCM of Numerators as per given numbers 6934/281, 8976/4822 is

LCM of Numerators i.e. for 6934,8976 is 31119792

GCF of denominators i.e. for 281,4822 is 1.

Thus, LCM of Fractions is 31119792.Finally, LCM of Fractions for 6934/281, 8976/4822 is 31119792.