Least Common Multiple of 682/873, 839/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 682/873, 839/351 quickly i.e. 572198/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 682/873, 839/351 is 572198/9.

LCM(682/873, 839/351) = 572198/9

LCM of 682/873, 839/351

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 682/873,839/351

Given numbers are 682/873,839/351

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 682,839

Least Common Multiple of Numerators i.e. LCM of 682,839 is 572198.

GCF of Denominators means GCF of 873,351 as per the given fractions.

GCF of 873,351 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 682,839

LCM of Fractions 682/873,839/351 is 572198/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 572198

Least Common Multiple of 682,839 with GCF Formula

Least Common Multiple of 682,839 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 682,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,839) = 1

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

GCF(682,839) x common factors =1 x 1 = 1

LCM(682,839) = ( 682 × 839 ) / 1

LCM(682,839) = 572198 / 1

LCM(682,839) = 572198


Lets's calculate GCF of 873,351

3 873, 351
3 291, 117
97, 39

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 572198/9

Therefore the LCM of Fractions 682/873,839/351 is 572198/9

Greatest Common Factor of 873,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 873,351 By Matching Biggest Common Factor Method

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 873,351 . The biggest common factor number is the GCF number.
So the greatest common factor 873,351 is 9.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 682/873, 839/351

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 682/873, 839/351?

Answer: LCM of Numerators as per given numbers 682/873, 839/351 is

LCM of Numerators i.e. for 682,839 is 572198

GCF of denominators i.e. for 873,351 is 9.

Thus, LCM of Fractions is 572198/9.Finally, LCM of Fractions for 682/873, 839/351 is 572198/9.