Least Common Multiple of 5169/30, 5184/303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5169/30, 5184/303 quickly i.e. 2977344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5169/30, 5184/303 is 2977344.

LCM(5169/30, 5184/303) = 2977344

LCM of 5169/30, 5184/303

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 5169/30,5184/303

Given numbers are 5169/30,5184/303

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 5169,5184

Least Common Multiple of Numerators i.e. LCM of 5169,5184 is 8932032.

GCF of Denominators means GCF of 30,303 as per the given fractions.

GCF of 30,303 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5169,5184

LCM of Fractions 5169/30,5184/303 is 2977344

3 5169, 5184
1723, 1728

∴ So the LCM of the given numbers is 3 x 1723 x 1728 = 8932032

Least Common Multiple of 5169,5184 with GCF Formula

Least Common Multiple of 5169,5184 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 5169,5184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5169,5184) = 3

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

GCF(5169,5184) x common factors =3 x 1 = 3

LCM(5169,5184) = ( 5169 × 5184 ) / 3

LCM(5169,5184) = 26796096 / 3

LCM(5169,5184) = 8932032


Lets's calculate GCF of 30,303

3 30, 303
10, 101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8932032/3

Therefore the LCM of Fractions 5169/30,5184/303 is 2977344

Greatest Common Factor of 30,303 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,303 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Greatest Common Factor

We found the factors 30,303 . The biggest common factor number is the GCF number.
So the greatest common factor 30,303 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 5169/30, 5184/303

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 5169/30, 5184/303?

Answer: LCM of Numerators as per given numbers 5169/30, 5184/303 is

LCM of Numerators i.e. for 5169,5184 is 8932032

GCF of denominators i.e. for 30,303 is 3.

Thus, LCM of Fractions is 2977344.Finally, LCM of Fractions for 5169/30, 5184/303 is 2977344.