Least Common Multiple of 6597/406, 7322/5713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6597/406, 7322/5713 quickly i.e. 48303234/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6597/406, 7322/5713 is 48303234/29.

LCM(6597/406, 7322/5713) = 48303234/29

LCM of 6597/406, 7322/5713

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 6597/406,7322/5713

Given numbers are 6597/406,7322/5713

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 6597,7322

Least Common Multiple of Numerators i.e. LCM of 6597,7322 is 48303234.

GCF of Denominators means GCF of 406,5713 as per the given fractions.

GCF of 406,5713 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6597,7322

LCM of Fractions 6597/406,7322/5713 is 48303234/29

Given numbers has no common factors except 1. So, there LCM is their product i.e 48303234

Least Common Multiple of 6597,7322 with GCF Formula

Least Common Multiple of 6597,7322 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 6597,7322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6597,7322) = 1

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

GCF(6597,7322) x common factors =1 x 1 = 1

LCM(6597,7322) = ( 6597 × 7322 ) / 1

LCM(6597,7322) = 48303234 / 1

LCM(6597,7322) = 48303234


Lets's calculate GCF of 406,5713

29 406, 5713
14, 197

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48303234/29

Therefore the LCM of Fractions 6597/406,7322/5713 is 48303234/29

Greatest Common Factor of 406,5713 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,5713 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 5713

List of positive integer factors of 5713 that divides 5713 without a remainder.

1,29,197,5713

Greatest Common Factor

We found the factors 406,5713 . The biggest common factor number is the GCF number.
So the greatest common factor 406,5713 is 29.


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 6597/406, 7322/5713

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 6597/406, 7322/5713?

Answer: LCM of Numerators as per given numbers 6597/406, 7322/5713 is

LCM of Numerators i.e. for 6597,7322 is 48303234

GCF of denominators i.e. for 406,5713 is 29.

Thus, LCM of Fractions is 48303234/29.Finally, LCM of Fractions for 6597/406, 7322/5713 is 48303234/29.