Least Common Multiple of 6644/738, 7249/5619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6644/738, 7249/5619 quickly i.e. 4378396/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6644/738, 7249/5619 is 4378396/3.

LCM(6644/738, 7249/5619) = 4378396/3

LCM of 6644/738, 7249/5619

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 6644/738,7249/5619

Given numbers are 6644/738,7249/5619

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 6644,7249

Least Common Multiple of Numerators i.e. LCM of 6644,7249 is 4378396.

GCF of Denominators means GCF of 738,5619 as per the given fractions.

GCF of 738,5619 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6644,7249

LCM of Fractions 6644/738,7249/5619 is 4378396/3

11 6644, 7249
604, 659

∴ So the LCM of the given numbers is 11 x 604 x 659 = 4378396

Least Common Multiple of 6644,7249 with GCF Formula

Least Common Multiple of 6644,7249 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 6644,7249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6644,7249) = 11

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

GCF(6644,7249) x common factors =11 x 1 = 11

LCM(6644,7249) = ( 6644 × 7249 ) / 11

LCM(6644,7249) = 48162356 / 11

LCM(6644,7249) = 4378396


Lets's calculate GCF of 738,5619

3 738, 5619
246, 1873

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4378396/3

Therefore the LCM of Fractions 6644/738,7249/5619 is 4378396/3

Greatest Common Factor of 738,5619 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,5619 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 5619

List of positive integer factors of 5619 that divides 5619 without a remainder.

1,3,1873,5619

Greatest Common Factor

We found the factors 738,5619 . The biggest common factor number is the GCF number.
So the greatest common factor 738,5619 is 3.


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 6644/738, 7249/5619

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 6644/738, 7249/5619?

Answer: LCM of Numerators as per given numbers 6644/738, 7249/5619 is

LCM of Numerators i.e. for 6644,7249 is 4378396

GCF of denominators i.e. for 738,5619 is 3.

Thus, LCM of Fractions is 4378396/3.Finally, LCM of Fractions for 6644/738, 7249/5619 is 4378396/3.