Least Common Multiple of 7329/909, 4756/7608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7329/909, 4756/7608 quickly i.e. 11618908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7329/909, 4756/7608 is 11618908.

LCM(7329/909, 4756/7608) = 11618908

LCM of 7329/909, 4756/7608

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 7329/909,4756/7608

Given numbers are 7329/909,4756/7608

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 7329,4756

Least Common Multiple of Numerators i.e. LCM of 7329,4756 is 34856724.

GCF of Denominators means GCF of 909,7608 as per the given fractions.

GCF of 909,7608 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7329,4756

LCM of Fractions 7329/909,4756/7608 is 11618908

Given numbers has no common factors except 1. So, there LCM is their product i.e 34856724

Least Common Multiple of 7329,4756 with GCF Formula

Least Common Multiple of 7329,4756 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 7329,4756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7329,4756) = 1

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

GCF(7329,4756) x common factors =1 x 1 = 1

LCM(7329,4756) = ( 7329 × 4756 ) / 1

LCM(7329,4756) = 34856724 / 1

LCM(7329,4756) = 34856724


Lets's calculate GCF of 909,7608

3 909, 7608
303, 2536

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34856724/3

Therefore the LCM of Fractions 7329/909,4756/7608 is 11618908

Greatest Common Factor of 909,7608 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,7608 By Matching Biggest Common Factor Method

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 7608

List of positive integer factors of 7608 that divides 7608 without a remainder.

1,2,3,4,6,8,12,24,317,634,951,1268,1902,2536,3804,7608

Greatest Common Factor

We found the factors 909,7608 . The biggest common factor number is the GCF number.
So the greatest common factor 909,7608 is 3.


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 7329/909, 4756/7608

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 7329/909, 4756/7608?

Answer: LCM of Numerators as per given numbers 7329/909, 4756/7608 is

LCM of Numerators i.e. for 7329,4756 is 34856724

GCF of denominators i.e. for 909,7608 is 3.

Thus, LCM of Fractions is 11618908.Finally, LCM of Fractions for 7329/909, 4756/7608 is 11618908.