Least Common Multiple of 7823/28, 2441/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7823/28, 2441/489 quickly i.e. 19095943 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7823/28, 2441/489 is 19095943.

LCM(7823/28, 2441/489) = 19095943

LCM of 7823/28, 2441/489

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 7823/28,2441/489

Given numbers are 7823/28,2441/489

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 7823,2441

Least Common Multiple of Numerators i.e. LCM of 7823,2441 is 19095943.

GCF of Denominators means GCF of 28,489 as per the given fractions.

GCF of 28,489 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7823,2441

LCM of Fractions 7823/28,2441/489 is 19095943

Given numbers has no common factors except 1. So, there LCM is their product i.e 19095943

Least Common Multiple of 7823,2441 with GCF Formula

Least Common Multiple of 7823,2441 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 7823,2441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7823,2441) = 1

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

GCF(7823,2441) x common factors =1 x 1 = 1

LCM(7823,2441) = ( 7823 × 2441 ) / 1

LCM(7823,2441) = 19095943 / 1

LCM(7823,2441) = 19095943


Lets's calculate GCF of 28,489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19095943/1

Therefore the LCM of Fractions 7823/28,2441/489 is 19095943

Greatest Common Factor of 28,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,489 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 28,489 . The biggest common factor number is the GCF number.
So the greatest common factor 28,489 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 7823/28, 2441/489

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 7823/28, 2441/489?

Answer: LCM of Numerators as per given numbers 7823/28, 2441/489 is

LCM of Numerators i.e. for 7823,2441 is 19095943

GCF of denominators i.e. for 28,489 is 1.

Thus, LCM of Fractions is 19095943.Finally, LCM of Fractions for 7823/28, 2441/489 is 19095943.