Least Common Multiple of 8184/819, 1622/4203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8184/819, 1622/4203 quickly i.e. 6637224/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8184/819, 1622/4203 is 6637224/9.

LCM(8184/819, 1622/4203) = 6637224/9

LCM of 8184/819, 1622/4203

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 8184/819,1622/4203

Given numbers are 8184/819,1622/4203

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 8184,1622

Least Common Multiple of Numerators i.e. LCM of 8184,1622 is 6637224.

GCF of Denominators means GCF of 819,4203 as per the given fractions.

GCF of 819,4203 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8184,1622

LCM of Fractions 8184/819,1622/4203 is 6637224/9

2 8184, 1622
4092, 811

∴ So the LCM of the given numbers is 2 x 4092 x 811 = 6637224

Least Common Multiple of 8184,1622 with GCF Formula

Least Common Multiple of 8184,1622 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 8184,1622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8184,1622) = 2

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

GCF(8184,1622) x common factors =2 x 1 = 2

LCM(8184,1622) = ( 8184 × 1622 ) / 2

LCM(8184,1622) = 13274448 / 2

LCM(8184,1622) = 6637224


Lets's calculate GCF of 819,4203

3 819, 4203
3 273, 1401
91, 467

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6637224/9

Therefore the LCM of Fractions 8184/819,1622/4203 is 6637224/9

Greatest Common Factor of 819,4203 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,4203 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 4203

List of positive integer factors of 4203 that divides 4203 without a remainder.

1,3,9,467,1401,4203

Greatest Common Factor

We found the factors 819,4203 . The biggest common factor number is the GCF number.
So the greatest common factor 819,4203 is 9.


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 8184/819, 1622/4203

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 8184/819, 1622/4203?

Answer: LCM of Numerators as per given numbers 8184/819, 1622/4203 is

LCM of Numerators i.e. for 8184,1622 is 6637224

GCF of denominators i.e. for 819,4203 is 9.

Thus, LCM of Fractions is 6637224/9.Finally, LCM of Fractions for 8184/819, 1622/4203 is 6637224/9.