Least Common Multiple of 2004/443, 7286/3112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2004/443, 7286/3112 quickly i.e. 7300572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2004/443, 7286/3112 is 7300572.

LCM(2004/443, 7286/3112) = 7300572

LCM of 2004/443, 7286/3112

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 2004/443,7286/3112

Given numbers are 2004/443,7286/3112

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 2004,7286

Least Common Multiple of Numerators i.e. LCM of 2004,7286 is 7300572.

GCF of Denominators means GCF of 443,3112 as per the given fractions.

GCF of 443,3112 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2004,7286

LCM of Fractions 2004/443,7286/3112 is 7300572

2 2004, 7286
1002, 3643

∴ So the LCM of the given numbers is 2 x 1002 x 3643 = 7300572

Least Common Multiple of 2004,7286 with GCF Formula

Least Common Multiple of 2004,7286 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 2004,7286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2004,7286) = 2

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

GCF(2004,7286) x common factors =2 x 1 = 2

LCM(2004,7286) = ( 2004 × 7286 ) / 2

LCM(2004,7286) = 14601144 / 2

LCM(2004,7286) = 7300572


Lets's calculate GCF of 443,3112

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7300572/1

Therefore the LCM of Fractions 2004/443,7286/3112 is 7300572

Greatest Common Factor of 443,3112 By Matching Biggest Common Factor Method

Greatest Common Factor of 443,3112 By Matching Biggest Common Factor Method

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Factors of 3112

List of positive integer factors of 3112 that divides 3112 without a remainder.

1,2,4,8,389,778,1556,3112

Greatest Common Factor

We found the factors 443,3112 . The biggest common factor number is the GCF number.
So the greatest common factor 443,3112 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 2004/443, 7286/3112

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 2004/443, 7286/3112?

Answer: LCM of Numerators as per given numbers 2004/443, 7286/3112 is

LCM of Numerators i.e. for 2004,7286 is 7300572

GCF of denominators i.e. for 443,3112 is 1.

Thus, LCM of Fractions is 7300572.Finally, LCM of Fractions for 2004/443, 7286/3112 is 7300572.