Least Common Multiple of 8084/576, 4360/7257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8084/576, 4360/7257 quickly i.e. 8811560/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8084/576, 4360/7257 is 8811560/3.

LCM(8084/576, 4360/7257) = 8811560/3

LCM of 8084/576, 4360/7257

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 8084/576,4360/7257

Given numbers are 8084/576,4360/7257

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 8084,4360

Least Common Multiple of Numerators i.e. LCM of 8084,4360 is 8811560.

GCF of Denominators means GCF of 576,7257 as per the given fractions.

GCF of 576,7257 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8084,4360

LCM of Fractions 8084/576,4360/7257 is 8811560/3

2 8084, 4360
2 4042, 2180
2021, 1090

∴ So the LCM of the given numbers is 2 x 2 x 2021 x 1090 = 8811560

Least Common Multiple of 8084,4360 with GCF Formula

Least Common Multiple of 8084,4360 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 8084,4360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8084,4360) = 4

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

GCF(8084,4360) x common factors =4 x 1 = 4

LCM(8084,4360) = ( 8084 × 4360 ) / 4

LCM(8084,4360) = 35246240 / 4

LCM(8084,4360) = 8811560


Lets's calculate GCF of 576,7257

3 576, 7257
192, 2419

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8811560/3

Therefore the LCM of Fractions 8084/576,4360/7257 is 8811560/3

Greatest Common Factor of 576,7257 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,7257 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 7257

List of positive integer factors of 7257 that divides 7257 without a remainder.

1,3,41,59,123,177,2419,7257

Greatest Common Factor

We found the factors 576,7257 . The biggest common factor number is the GCF number.
So the greatest common factor 576,7257 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 8084/576, 4360/7257

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 8084/576, 4360/7257?

Answer: LCM of Numerators as per given numbers 8084/576, 4360/7257 is

LCM of Numerators i.e. for 8084,4360 is 8811560

GCF of denominators i.e. for 576,7257 is 3.

Thus, LCM of Fractions is 8811560/3.Finally, LCM of Fractions for 8084/576, 4360/7257 is 8811560/3.