Least Common Multiple of 336/506, 8299/7746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 336/506, 8299/7746 quickly i.e. 1394232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 336/506, 8299/7746 is 1394232.

LCM(336/506, 8299/7746) = 1394232

LCM of 336/506, 8299/7746

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 336/506,8299/7746

Given numbers are 336/506,8299/7746

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 336,8299

Least Common Multiple of Numerators i.e. LCM of 336,8299 is 2788464.

GCF of Denominators means GCF of 506,7746 as per the given fractions.

GCF of 506,7746 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 336,8299

LCM of Fractions 336/506,8299/7746 is 1394232

Given numbers has no common factors except 1. So, there LCM is their product i.e 2788464

Least Common Multiple of 336,8299 with GCF Formula

Least Common Multiple of 336,8299 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 336,8299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,8299) = 1

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

GCF(336,8299) x common factors =1 x 1 = 1

LCM(336,8299) = ( 336 × 8299 ) / 1

LCM(336,8299) = 2788464 / 1

LCM(336,8299) = 2788464


Lets's calculate GCF of 506,7746

2 506, 7746
253, 3873

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2788464/2

Therefore the LCM of Fractions 336/506,8299/7746 is 1394232

Greatest Common Factor of 506,7746 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,7746 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 7746

List of positive integer factors of 7746 that divides 7746 without a remainder.

1,2,3,6,1291,2582,3873,7746

Greatest Common Factor

We found the factors 506,7746 . The biggest common factor number is the GCF number.
So the greatest common factor 506,7746 is 2.


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Frequently Asked Questions on Fractional LCM of 336/506, 8299/7746

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 336/506, 8299/7746?

Answer: LCM of Numerators as per given numbers 336/506, 8299/7746 is

LCM of Numerators i.e. for 336,8299 is 2788464

GCF of denominators i.e. for 506,7746 is 2.

Thus, LCM of Fractions is 1394232.Finally, LCM of Fractions for 336/506, 8299/7746 is 1394232.