Least Common Multiple of 5044/241, 7344/6439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5044/241, 7344/6439 quickly i.e. 9260784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5044/241, 7344/6439 is 9260784.

LCM(5044/241, 7344/6439) = 9260784

LCM of 5044/241, 7344/6439

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 5044/241,7344/6439

Given numbers are 5044/241,7344/6439

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 5044,7344

Least Common Multiple of Numerators i.e. LCM of 5044,7344 is 9260784.

GCF of Denominators means GCF of 241,6439 as per the given fractions.

GCF of 241,6439 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5044,7344

LCM of Fractions 5044/241,7344/6439 is 9260784

2 5044, 7344
2 2522, 3672
1261, 1836

∴ So the LCM of the given numbers is 2 x 2 x 1261 x 1836 = 9260784

Least Common Multiple of 5044,7344 with GCF Formula

Least Common Multiple of 5044,7344 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 5044,7344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5044,7344) = 4

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

GCF(5044,7344) x common factors =4 x 1 = 4

LCM(5044,7344) = ( 5044 × 7344 ) / 4

LCM(5044,7344) = 37043136 / 4

LCM(5044,7344) = 9260784


Lets's calculate GCF of 241,6439

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9260784/1

Therefore the LCM of Fractions 5044/241,7344/6439 is 9260784

Greatest Common Factor of 241,6439 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,6439 By Matching Biggest Common Factor Method

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 6439

List of positive integer factors of 6439 that divides 6439 without a remainder.

1,47,137,6439

Greatest Common Factor

We found the factors 241,6439 . The biggest common factor number is the GCF number.
So the greatest common factor 241,6439 is 1.


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 5044/241, 7344/6439

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 5044/241, 7344/6439?

Answer: LCM of Numerators as per given numbers 5044/241, 7344/6439 is

LCM of Numerators i.e. for 5044,7344 is 9260784

GCF of denominators i.e. for 241,6439 is 1.

Thus, LCM of Fractions is 9260784.Finally, LCM of Fractions for 5044/241, 7344/6439 is 9260784.