Least Common Multiple of 82/320, 7437/8129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 82/320, 7437/8129 quickly i.e. 609834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/320, 7437/8129 is 609834.

LCM(82/320, 7437/8129) = 609834

LCM of 82/320, 7437/8129

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 82/320,7437/8129

Given numbers are 82/320,7437/8129

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 82,7437

Least Common Multiple of Numerators i.e. LCM of 82,7437 is 609834.

GCF of Denominators means GCF of 320,8129 as per the given fractions.

GCF of 320,8129 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,7437

LCM of Fractions 82/320,7437/8129 is 609834

Given numbers has no common factors except 1. So, there LCM is their product i.e 609834

Least Common Multiple of 82,7437 with GCF Formula

Least Common Multiple of 82,7437 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 82,7437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,7437) = 1

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

GCF(82,7437) x common factors =1 x 1 = 1

LCM(82,7437) = ( 82 × 7437 ) / 1

LCM(82,7437) = 609834 / 1

LCM(82,7437) = 609834


Lets's calculate GCF of 320,8129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 609834/1

Therefore the LCM of Fractions 82/320,7437/8129 is 609834

Greatest Common Factor of 320,8129 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,8129 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 8129

List of positive integer factors of 8129 that divides 8129 without a remainder.

1,11,739,8129

Greatest Common Factor

We found the factors 320,8129 . The biggest common factor number is the GCF number.
So the greatest common factor 320,8129 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 82/320, 7437/8129

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 82/320, 7437/8129?

Answer: LCM of Numerators as per given numbers 82/320, 7437/8129 is

LCM of Numerators i.e. for 82,7437 is 609834

GCF of denominators i.e. for 320,8129 is 1.

Thus, LCM of Fractions is 609834.Finally, LCM of Fractions for 82/320, 7437/8129 is 609834.