Least Common Multiple of 2942/293, 6436/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2942/293, 6436/819 quickly i.e. 9467356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2942/293, 6436/819 is 9467356.

LCM(2942/293, 6436/819) = 9467356

LCM of 2942/293, 6436/819

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 2942/293,6436/819

Given numbers are 2942/293,6436/819

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 2942,6436

Least Common Multiple of Numerators i.e. LCM of 2942,6436 is 9467356.

GCF of Denominators means GCF of 293,819 as per the given fractions.

GCF of 293,819 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2942,6436

LCM of Fractions 2942/293,6436/819 is 9467356

2 2942, 6436
1471, 3218

∴ So the LCM of the given numbers is 2 x 1471 x 3218 = 9467356

Least Common Multiple of 2942,6436 with GCF Formula

Least Common Multiple of 2942,6436 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 2942,6436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2942,6436) = 2

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

GCF(2942,6436) x common factors =2 x 1 = 2

LCM(2942,6436) = ( 2942 × 6436 ) / 2

LCM(2942,6436) = 18934712 / 2

LCM(2942,6436) = 9467356


Lets's calculate GCF of 293,819

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9467356/1

Therefore the LCM of Fractions 2942/293,6436/819 is 9467356

Greatest Common Factor of 293,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 293,819 By Matching Biggest Common Factor Method

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 293,819 . The biggest common factor number is the GCF number.
So the greatest common factor 293,819 is 1.


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 2942/293, 6436/819

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 2942/293, 6436/819?

Answer: LCM of Numerators as per given numbers 2942/293, 6436/819 is

LCM of Numerators i.e. for 2942,6436 is 9467356

GCF of denominators i.e. for 293,819 is 1.

Thus, LCM of Fractions is 9467356.Finally, LCM of Fractions for 2942/293, 6436/819 is 9467356.