Least Common Multiple of 2398/644, 7714/6728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2398/644, 7714/6728 quickly i.e. 9249086/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2398/644, 7714/6728 is 9249086/4.

LCM(2398/644, 7714/6728) = 9249086/4

LCM of 2398/644, 7714/6728

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 2398/644,7714/6728

Given numbers are 2398/644,7714/6728

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 2398,7714

Least Common Multiple of Numerators i.e. LCM of 2398,7714 is 9249086.

GCF of Denominators means GCF of 644,6728 as per the given fractions.

GCF of 644,6728 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2398,7714

LCM of Fractions 2398/644,7714/6728 is 9249086/4

2 2398, 7714
1199, 3857

∴ So the LCM of the given numbers is 2 x 1199 x 3857 = 9249086

Least Common Multiple of 2398,7714 with GCF Formula

Least Common Multiple of 2398,7714 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 2398,7714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2398,7714) = 2

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

GCF(2398,7714) x common factors =2 x 1 = 2

LCM(2398,7714) = ( 2398 × 7714 ) / 2

LCM(2398,7714) = 18498172 / 2

LCM(2398,7714) = 9249086


Lets's calculate GCF of 644,6728

2 644, 6728
2 322, 3364
161, 1682

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9249086/4

Therefore the LCM of Fractions 2398/644,7714/6728 is 9249086/4

Greatest Common Factor of 644,6728 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,6728 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 6728

List of positive integer factors of 6728 that divides 6728 without a remainder.

1,2,4,8,29,58,116,232,841,1682,3364,6728

Greatest Common Factor

We found the factors 644,6728 . The biggest common factor number is the GCF number.
So the greatest common factor 644,6728 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 2398/644, 7714/6728

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 2398/644, 7714/6728?

Answer: LCM of Numerators as per given numbers 2398/644, 7714/6728 is

LCM of Numerators i.e. for 2398,7714 is 9249086

GCF of denominators i.e. for 644,6728 is 4.

Thus, LCM of Fractions is 9249086/4.Finally, LCM of Fractions for 2398/644, 7714/6728 is 9249086/4.