Least Common Multiple of 2229/540, 1824/4263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2229/540, 1824/4263 quickly i.e. 451744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2229/540, 1824/4263 is 451744.

LCM(2229/540, 1824/4263) = 451744

LCM of 2229/540, 1824/4263

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 2229/540,1824/4263

Given numbers are 2229/540,1824/4263

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 2229,1824

Least Common Multiple of Numerators i.e. LCM of 2229,1824 is 1355232.

GCF of Denominators means GCF of 540,4263 as per the given fractions.

GCF of 540,4263 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2229,1824

LCM of Fractions 2229/540,1824/4263 is 451744

3 2229, 1824
743, 608

∴ So the LCM of the given numbers is 3 x 743 x 608 = 1355232

Least Common Multiple of 2229,1824 with GCF Formula

Least Common Multiple of 2229,1824 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 2229,1824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2229,1824) = 3

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

GCF(2229,1824) x common factors =3 x 1 = 3

LCM(2229,1824) = ( 2229 × 1824 ) / 3

LCM(2229,1824) = 4065696 / 3

LCM(2229,1824) = 1355232


Lets's calculate GCF of 540,4263

3 540, 4263
180, 1421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1355232/3

Therefore the LCM of Fractions 2229/540,1824/4263 is 451744

Greatest Common Factor of 540,4263 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,4263 By Matching Biggest Common Factor Method

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 4263

List of positive integer factors of 4263 that divides 4263 without a remainder.

1,3,7,21,29,49,87,147,203,609,1421,4263

Greatest Common Factor

We found the factors 540,4263 . The biggest common factor number is the GCF number.
So the greatest common factor 540,4263 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 2229/540, 1824/4263

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 2229/540, 1824/4263?

Answer: LCM of Numerators as per given numbers 2229/540, 1824/4263 is

LCM of Numerators i.e. for 2229,1824 is 1355232

GCF of denominators i.e. for 540,4263 is 3.

Thus, LCM of Fractions is 451744.Finally, LCM of Fractions for 2229/540, 1824/4263 is 451744.