Least Common Multiple of 2823/879, 7472/5189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2823/879, 7472/5189 quickly i.e. 21093456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2823/879, 7472/5189 is 21093456.

LCM(2823/879, 7472/5189) = 21093456

LCM of 2823/879, 7472/5189

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 2823/879,7472/5189

Given numbers are 2823/879,7472/5189

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 2823,7472

Least Common Multiple of Numerators i.e. LCM of 2823,7472 is 21093456.

GCF of Denominators means GCF of 879,5189 as per the given fractions.

GCF of 879,5189 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2823,7472

LCM of Fractions 2823/879,7472/5189 is 21093456

Given numbers has no common factors except 1. So, there LCM is their product i.e 21093456

Least Common Multiple of 2823,7472 with GCF Formula

Least Common Multiple of 2823,7472 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 2823,7472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2823,7472) = 1

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

GCF(2823,7472) x common factors =1 x 1 = 1

LCM(2823,7472) = ( 2823 × 7472 ) / 1

LCM(2823,7472) = 21093456 / 1

LCM(2823,7472) = 21093456


Lets's calculate GCF of 879,5189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21093456/1

Therefore the LCM of Fractions 2823/879,7472/5189 is 21093456

Greatest Common Factor of 879,5189 By Matching Biggest Common Factor Method

Greatest Common Factor of 879,5189 By Matching Biggest Common Factor Method

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Factors of 5189

List of positive integer factors of 5189 that divides 5189 without a remainder.

1,5189

Greatest Common Factor

We found the factors 879,5189 . The biggest common factor number is the GCF number.
So the greatest common factor 879,5189 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 2823/879, 7472/5189

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 2823/879, 7472/5189?

Answer: LCM of Numerators as per given numbers 2823/879, 7472/5189 is

LCM of Numerators i.e. for 2823,7472 is 21093456

GCF of denominators i.e. for 879,5189 is 1.

Thus, LCM of Fractions is 21093456.Finally, LCM of Fractions for 2823/879, 7472/5189 is 21093456.