Least Common Multiple of 4827/75, 1944/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4827/75, 1944/903 quickly i.e. 1042632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4827/75, 1944/903 is 1042632.

LCM(4827/75, 1944/903) = 1042632

LCM of 4827/75, 1944/903

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 4827/75,1944/903

Given numbers are 4827/75,1944/903

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 4827,1944

Least Common Multiple of Numerators i.e. LCM of 4827,1944 is 3127896.

GCF of Denominators means GCF of 75,903 as per the given fractions.

GCF of 75,903 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4827,1944

LCM of Fractions 4827/75,1944/903 is 1042632

3 4827, 1944
1609, 648

∴ So the LCM of the given numbers is 3 x 1609 x 648 = 3127896

Least Common Multiple of 4827,1944 with GCF Formula

Least Common Multiple of 4827,1944 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 4827,1944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4827,1944) = 3

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

GCF(4827,1944) x common factors =3 x 1 = 3

LCM(4827,1944) = ( 4827 × 1944 ) / 3

LCM(4827,1944) = 9383688 / 3

LCM(4827,1944) = 3127896


Lets's calculate GCF of 75,903

3 75, 903
25, 301

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3127896/3

Therefore the LCM of Fractions 4827/75,1944/903 is 1042632

Greatest Common Factor of 75,903 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,903 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Greatest Common Factor

We found the factors 75,903 . The biggest common factor number is the GCF number.
So the greatest common factor 75,903 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 4827/75, 1944/903

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 4827/75, 1944/903?

Answer: LCM of Numerators as per given numbers 4827/75, 1944/903 is

LCM of Numerators i.e. for 4827,1944 is 3127896

GCF of denominators i.e. for 75,903 is 3.

Thus, LCM of Fractions is 1042632.Finally, LCM of Fractions for 4827/75, 1944/903 is 1042632.