Least Common Multiple of 8000/576, 4710/2311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8000/576, 4710/2311 quickly i.e. 3768000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8000/576, 4710/2311 is 3768000.

LCM(8000/576, 4710/2311) = 3768000

LCM of 8000/576, 4710/2311

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 8000/576,4710/2311

Given numbers are 8000/576,4710/2311

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 8000,4710

Least Common Multiple of Numerators i.e. LCM of 8000,4710 is 3768000.

GCF of Denominators means GCF of 576,2311 as per the given fractions.

GCF of 576,2311 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8000,4710

LCM of Fractions 8000/576,4710/2311 is 3768000

2 8000, 4710
5 4000, 2355
800, 471

∴ So the LCM of the given numbers is 2 x 5 x 800 x 471 = 3768000

Least Common Multiple of 8000,4710 with GCF Formula

Least Common Multiple of 8000,4710 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 8000,4710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8000,4710) = 10

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

GCF(8000,4710) x common factors =10 x 1 = 10

LCM(8000,4710) = ( 8000 × 4710 ) / 10

LCM(8000,4710) = 37680000 / 10

LCM(8000,4710) = 3768000


Lets's calculate GCF of 576,2311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3768000/1

Therefore the LCM of Fractions 8000/576,4710/2311 is 3768000

Greatest Common Factor of 576,2311 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,2311 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 2311

List of positive integer factors of 2311 that divides 2311 without a remainder.

1,2311

Greatest Common Factor

We found the factors 576,2311 . The biggest common factor number is the GCF number.
So the greatest common factor 576,2311 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 8000/576, 4710/2311

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 8000/576, 4710/2311?

Answer: LCM of Numerators as per given numbers 8000/576, 4710/2311 is

LCM of Numerators i.e. for 8000,4710 is 3768000

GCF of denominators i.e. for 576,2311 is 1.

Thus, LCM of Fractions is 3768000.Finally, LCM of Fractions for 8000/576, 4710/2311 is 3768000.