Least Common Multiple of 6081/792, 5804/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6081/792, 5804/576 quickly i.e. 35294124/72 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6081/792, 5804/576 is 35294124/72.

LCM(6081/792, 5804/576) = 35294124/72

LCM of 6081/792, 5804/576

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 6081/792,5804/576

Given numbers are 6081/792,5804/576

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 6081,5804

Least Common Multiple of Numerators i.e. LCM of 6081,5804 is 35294124.

GCF of Denominators means GCF of 792,576 as per the given fractions.

GCF of 792,576 is 72 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6081,5804

LCM of Fractions 6081/792,5804/576 is 35294124/72

Given numbers has no common factors except 1. So, there LCM is their product i.e 35294124

Least Common Multiple of 6081,5804 with GCF Formula

Least Common Multiple of 6081,5804 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 6081,5804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6081,5804) = 1

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

GCF(6081,5804) x common factors =1 x 1 = 1

LCM(6081,5804) = ( 6081 × 5804 ) / 1

LCM(6081,5804) = 35294124 / 1

LCM(6081,5804) = 35294124


Lets's calculate GCF of 792,576

2 792, 576
2 396, 288
2 198, 144
3 99, 72
3 33, 24
11, 8

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 3 = 72

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35294124/72

Therefore the LCM of Fractions 6081/792,5804/576 is 35294124/72

Greatest Common Factor of 792,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 792,576 By Matching Biggest Common Factor Method

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

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

Greatest Common Factor

We found the factors 792,576 . The biggest common factor number is the GCF number.
So the greatest common factor 792,576 is 72.


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 6081/792, 5804/576

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 6081/792, 5804/576?

Answer: LCM of Numerators as per given numbers 6081/792, 5804/576 is

LCM of Numerators i.e. for 6081,5804 is 35294124

GCF of denominators i.e. for 792,576 is 72.

Thus, LCM of Fractions is 35294124/72.Finally, LCM of Fractions for 6081/792, 5804/576 is 35294124/72.