Least Common Multiple of 7296/130, 1611/6397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7296/130, 1611/6397 quickly i.e. 3917952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7296/130, 1611/6397 is 3917952.

LCM(7296/130, 1611/6397) = 3917952

LCM of 7296/130, 1611/6397

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 7296/130,1611/6397

Given numbers are 7296/130,1611/6397

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 7296,1611

Least Common Multiple of Numerators i.e. LCM of 7296,1611 is 3917952.

GCF of Denominators means GCF of 130,6397 as per the given fractions.

GCF of 130,6397 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7296,1611

LCM of Fractions 7296/130,1611/6397 is 3917952

3 7296, 1611
2432, 537

∴ So the LCM of the given numbers is 3 x 2432 x 537 = 3917952

Least Common Multiple of 7296,1611 with GCF Formula

Least Common Multiple of 7296,1611 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 7296,1611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7296,1611) = 3

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

GCF(7296,1611) x common factors =3 x 1 = 3

LCM(7296,1611) = ( 7296 × 1611 ) / 3

LCM(7296,1611) = 11753856 / 3

LCM(7296,1611) = 3917952


Lets's calculate GCF of 130,6397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3917952/1

Therefore the LCM of Fractions 7296/130,1611/6397 is 3917952

Greatest Common Factor of 130,6397 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,6397 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 6397

List of positive integer factors of 6397 that divides 6397 without a remainder.

1,6397

Greatest Common Factor

We found the factors 130,6397 . The biggest common factor number is the GCF number.
So the greatest common factor 130,6397 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7296/130, 1611/6397

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 7296/130, 1611/6397?

Answer: LCM of Numerators as per given numbers 7296/130, 1611/6397 is

LCM of Numerators i.e. for 7296,1611 is 3917952

GCF of denominators i.e. for 130,6397 is 1.

Thus, LCM of Fractions is 3917952.Finally, LCM of Fractions for 7296/130, 1611/6397 is 3917952.