Least Common Multiple of 13/406, 96/797, 589/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/406, 96/797, 589/326 quickly i.e. 735072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/406, 96/797, 589/326 is 735072.

LCM(13/406, 96/797, 589/326) = 735072

LCM of 13/406, 96/797, 589/326

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 13/406,96/797,589/326

Given numbers are 13/406,96/797,589/326

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 13,96,589

Least Common Multiple of Numerators i.e. LCM of 13,96,589 is 735072.

GCF of Denominators means GCF of 406,797,326 as per the given fractions.

GCF of 406,797,326 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,96,589

LCM of Fractions 13/406,96/797,589/326 is 735072

Given numbers has no common factors except 1. So, there LCM is their product i.e 735072

Least Common Multiple of 13,96,589 with GCF Formula

Least Common Multiple of 13,96,589 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 13,96,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,96,589) = 1

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

GCF(13,96,589) x common factors =1 x 1 = 1

LCM(13,96,589) = ( 13 × 96 × 589 ) / 1

LCM(13,96,589) = 735072 / 1

LCM(13,96,589) = 735072


Lets's calculate GCF of 406,797,326

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 735072/1

Therefore the LCM of Fractions 13/406,96/797,589/326 is 735072

Greatest Common Factor of 406,797,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,797,326 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 406,797,326 . The biggest common factor number is the GCF number.
So the greatest common factor 406,797,326 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 13/406, 96/797, 589/326

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 13/406, 96/797, 589/326?

Answer: LCM of Numerators as per given numbers 13/406, 96/797, 589/326 is

LCM of Numerators i.e. for 13,96,589 is 735072

GCF of denominators i.e. for 406,797,326 is 1.

Thus, LCM of Fractions is 735072.Finally, LCM of Fractions for 13/406, 96/797, 589/326 is 735072.