Least Common Multiple of 3447/323, 5089/8777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3447/323, 5089/8777 quickly i.e. 17541783 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3447/323, 5089/8777 is 17541783.

LCM(3447/323, 5089/8777) = 17541783

LCM of 3447/323, 5089/8777

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 3447/323,5089/8777

Given numbers are 3447/323,5089/8777

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 3447,5089

Least Common Multiple of Numerators i.e. LCM of 3447,5089 is 17541783.

GCF of Denominators means GCF of 323,8777 as per the given fractions.

GCF of 323,8777 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3447,5089

LCM of Fractions 3447/323,5089/8777 is 17541783

Given numbers has no common factors except 1. So, there LCM is their product i.e 17541783

Least Common Multiple of 3447,5089 with GCF Formula

Least Common Multiple of 3447,5089 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 3447,5089 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3447,5089) = 1

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

GCF(3447,5089) x common factors =1 x 1 = 1

LCM(3447,5089) = ( 3447 × 5089 ) / 1

LCM(3447,5089) = 17541783 / 1

LCM(3447,5089) = 17541783


Lets's calculate GCF of 323,8777

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17541783/1

Therefore the LCM of Fractions 3447/323,5089/8777 is 17541783

Greatest Common Factor of 323,8777 By Matching Biggest Common Factor Method

Greatest Common Factor of 323,8777 By Matching Biggest Common Factor Method

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 8777

List of positive integer factors of 8777 that divides 8777 without a remainder.

1,67,131,8777

Greatest Common Factor

We found the factors 323,8777 . The biggest common factor number is the GCF number.
So the greatest common factor 323,8777 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 3447/323, 5089/8777

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 3447/323, 5089/8777?

Answer: LCM of Numerators as per given numbers 3447/323, 5089/8777 is

LCM of Numerators i.e. for 3447,5089 is 17541783

GCF of denominators i.e. for 323,8777 is 1.

Thus, LCM of Fractions is 17541783.Finally, LCM of Fractions for 3447/323, 5089/8777 is 17541783.