Least Common Multiple of 9729/436, 6291/6711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9729/436, 6291/6711 quickly i.e. 6800571 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9729/436, 6291/6711 is 6800571.

LCM(9729/436, 6291/6711) = 6800571

LCM of 9729/436, 6291/6711

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 9729/436,6291/6711

Given numbers are 9729/436,6291/6711

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 9729,6291

Least Common Multiple of Numerators i.e. LCM of 9729,6291 is 6800571.

GCF of Denominators means GCF of 436,6711 as per the given fractions.

GCF of 436,6711 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9729,6291

LCM of Fractions 9729/436,6291/6711 is 6800571

3 9729, 6291
3 3243, 2097
1081, 699

∴ So the LCM of the given numbers is 3 x 3 x 1081 x 699 = 6800571

Least Common Multiple of 9729,6291 with GCF Formula

Least Common Multiple of 9729,6291 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 9729,6291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9729,6291) = 9

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

GCF(9729,6291) x common factors =9 x 1 = 9

LCM(9729,6291) = ( 9729 × 6291 ) / 9

LCM(9729,6291) = 61205139 / 9

LCM(9729,6291) = 6800571


Lets's calculate GCF of 436,6711

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6800571/1

Therefore the LCM of Fractions 9729/436,6291/6711 is 6800571

Greatest Common Factor of 436,6711 By Matching Biggest Common Factor Method

Greatest Common Factor of 436,6711 By Matching Biggest Common Factor Method

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 6711

List of positive integer factors of 6711 that divides 6711 without a remainder.

1,3,2237,6711

Greatest Common Factor

We found the factors 436,6711 . The biggest common factor number is the GCF number.
So the greatest common factor 436,6711 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 9729/436, 6291/6711

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 9729/436, 6291/6711?

Answer: LCM of Numerators as per given numbers 9729/436, 6291/6711 is

LCM of Numerators i.e. for 9729,6291 is 6800571

GCF of denominators i.e. for 436,6711 is 1.

Thus, LCM of Fractions is 6800571.Finally, LCM of Fractions for 9729/436, 6291/6711 is 6800571.