Least Common Multiple of 7809/783, 9072/3197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7809/783, 9072/3197 quickly i.e. 23614416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7809/783, 9072/3197 is 23614416.

LCM(7809/783, 9072/3197) = 23614416

LCM of 7809/783, 9072/3197

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 7809/783,9072/3197

Given numbers are 7809/783,9072/3197

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 7809,9072

Least Common Multiple of Numerators i.e. LCM of 7809,9072 is 23614416.

GCF of Denominators means GCF of 783,3197 as per the given fractions.

GCF of 783,3197 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7809,9072

LCM of Fractions 7809/783,9072/3197 is 23614416

3 7809, 9072
2603, 3024

∴ So the LCM of the given numbers is 3 x 2603 x 3024 = 23614416

Least Common Multiple of 7809,9072 with GCF Formula

Least Common Multiple of 7809,9072 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 7809,9072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7809,9072) = 3

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

GCF(7809,9072) x common factors =3 x 1 = 3

LCM(7809,9072) = ( 7809 × 9072 ) / 3

LCM(7809,9072) = 70843248 / 3

LCM(7809,9072) = 23614416


Lets's calculate GCF of 783,3197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23614416/1

Therefore the LCM of Fractions 7809/783,9072/3197 is 23614416

Greatest Common Factor of 783,3197 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,3197 By Matching Biggest Common Factor Method

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 3197

List of positive integer factors of 3197 that divides 3197 without a remainder.

1,23,139,3197

Greatest Common Factor

We found the factors 783,3197 . The biggest common factor number is the GCF number.
So the greatest common factor 783,3197 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 7809/783, 9072/3197

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 7809/783, 9072/3197?

Answer: LCM of Numerators as per given numbers 7809/783, 9072/3197 is

LCM of Numerators i.e. for 7809,9072 is 23614416

GCF of denominators i.e. for 783,3197 is 1.

Thus, LCM of Fractions is 23614416.Finally, LCM of Fractions for 7809/783, 9072/3197 is 23614416.