Least Common Multiple of 7584/390, 7227/7469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7584/390, 7227/7469 quickly i.e. 18269856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7584/390, 7227/7469 is 18269856.

LCM(7584/390, 7227/7469) = 18269856

LCM of 7584/390, 7227/7469

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 7584/390,7227/7469

Given numbers are 7584/390,7227/7469

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 7584,7227

Least Common Multiple of Numerators i.e. LCM of 7584,7227 is 18269856.

GCF of Denominators means GCF of 390,7469 as per the given fractions.

GCF of 390,7469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7584,7227

LCM of Fractions 7584/390,7227/7469 is 18269856

3 7584, 7227
2528, 2409

∴ So the LCM of the given numbers is 3 x 2528 x 2409 = 18269856

Least Common Multiple of 7584,7227 with GCF Formula

Least Common Multiple of 7584,7227 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 7584,7227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7584,7227) = 3

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

GCF(7584,7227) x common factors =3 x 1 = 3

LCM(7584,7227) = ( 7584 × 7227 ) / 3

LCM(7584,7227) = 54809568 / 3

LCM(7584,7227) = 18269856


Lets's calculate GCF of 390,7469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18269856/1

Therefore the LCM of Fractions 7584/390,7227/7469 is 18269856

Greatest Common Factor of 390,7469 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,7469 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 7469

List of positive integer factors of 7469 that divides 7469 without a remainder.

1,7,11,77,97,679,1067,7469

Greatest Common Factor

We found the factors 390,7469 . The biggest common factor number is the GCF number.
So the greatest common factor 390,7469 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 7584/390, 7227/7469

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 7584/390, 7227/7469?

Answer: LCM of Numerators as per given numbers 7584/390, 7227/7469 is

LCM of Numerators i.e. for 7584,7227 is 18269856

GCF of denominators i.e. for 390,7469 is 1.

Thus, LCM of Fractions is 18269856.Finally, LCM of Fractions for 7584/390, 7227/7469 is 18269856.