Least Common Multiple of 7323/381, 6165/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7323/381, 6165/585 quickly i.e. 5016255 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7323/381, 6165/585 is 5016255.

LCM(7323/381, 6165/585) = 5016255

LCM of 7323/381, 6165/585

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 7323/381,6165/585

Given numbers are 7323/381,6165/585

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 7323,6165

Least Common Multiple of Numerators i.e. LCM of 7323,6165 is 15048765.

GCF of Denominators means GCF of 381,585 as per the given fractions.

GCF of 381,585 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7323,6165

LCM of Fractions 7323/381,6165/585 is 5016255

3 7323, 6165
2441, 2055

∴ So the LCM of the given numbers is 3 x 2441 x 2055 = 15048765

Least Common Multiple of 7323,6165 with GCF Formula

Least Common Multiple of 7323,6165 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 7323,6165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7323,6165) = 3

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

GCF(7323,6165) x common factors =3 x 1 = 3

LCM(7323,6165) = ( 7323 × 6165 ) / 3

LCM(7323,6165) = 45146295 / 3

LCM(7323,6165) = 15048765


Lets's calculate GCF of 381,585

3 381, 585
127, 195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15048765/3

Therefore the LCM of Fractions 7323/381,6165/585 is 5016255

Greatest Common Factor of 381,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,585 By Matching Biggest Common Factor Method

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 381,585 . The biggest common factor number is the GCF number.
So the greatest common factor 381,585 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 7323/381, 6165/585

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 7323/381, 6165/585?

Answer: LCM of Numerators as per given numbers 7323/381, 6165/585 is

LCM of Numerators i.e. for 7323,6165 is 15048765

GCF of denominators i.e. for 381,585 is 3.

Thus, LCM of Fractions is 5016255.Finally, LCM of Fractions for 7323/381, 6165/585 is 5016255.