Least Common Multiple of 2577/68, 7938/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2577/68, 7938/351 quickly i.e. 6818742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2577/68, 7938/351 is 6818742.

LCM(2577/68, 7938/351) = 6818742

LCM of 2577/68, 7938/351

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 2577/68,7938/351

Given numbers are 2577/68,7938/351

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 2577,7938

Least Common Multiple of Numerators i.e. LCM of 2577,7938 is 6818742.

GCF of Denominators means GCF of 68,351 as per the given fractions.

GCF of 68,351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2577,7938

LCM of Fractions 2577/68,7938/351 is 6818742

3 2577, 7938
859, 2646

∴ So the LCM of the given numbers is 3 x 859 x 2646 = 6818742

Least Common Multiple of 2577,7938 with GCF Formula

Least Common Multiple of 2577,7938 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 2577,7938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2577,7938) = 3

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

GCF(2577,7938) x common factors =3 x 1 = 3

LCM(2577,7938) = ( 2577 × 7938 ) / 3

LCM(2577,7938) = 20456226 / 3

LCM(2577,7938) = 6818742


Lets's calculate GCF of 68,351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6818742/1

Therefore the LCM of Fractions 2577/68,7938/351 is 6818742

Greatest Common Factor of 68,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,351 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

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 68,351 . The biggest common factor number is the GCF number.
So the greatest common factor 68,351 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2577/68, 7938/351

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 2577/68, 7938/351?

Answer: LCM of Numerators as per given numbers 2577/68, 7938/351 is

LCM of Numerators i.e. for 2577,7938 is 6818742

GCF of denominators i.e. for 68,351 is 1.

Thus, LCM of Fractions is 6818742.Finally, LCM of Fractions for 2577/68, 7938/351 is 6818742.