Least Common Multiple of 6301/729, 2547/6741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6301/729, 2547/6741 quickly i.e. 1783183 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6301/729, 2547/6741 is 1783183.

LCM(6301/729, 2547/6741) = 1783183

LCM of 6301/729, 2547/6741

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 6301/729,2547/6741

Given numbers are 6301/729,2547/6741

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 6301,2547

Least Common Multiple of Numerators i.e. LCM of 6301,2547 is 16048647.

GCF of Denominators means GCF of 729,6741 as per the given fractions.

GCF of 729,6741 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6301,2547

LCM of Fractions 6301/729,2547/6741 is 1783183

Given numbers has no common factors except 1. So, there LCM is their product i.e 16048647

Least Common Multiple of 6301,2547 with GCF Formula

Least Common Multiple of 6301,2547 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 6301,2547 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6301,2547) = 1

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

GCF(6301,2547) x common factors =1 x 1 = 1

LCM(6301,2547) = ( 6301 × 2547 ) / 1

LCM(6301,2547) = 16048647 / 1

LCM(6301,2547) = 16048647


Lets's calculate GCF of 729,6741

3 729, 6741
3 243, 2247
81, 749

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16048647/9

Therefore the LCM of Fractions 6301/729,2547/6741 is 1783183

Greatest Common Factor of 729,6741 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,6741 By Matching Biggest Common Factor Method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 6741

List of positive integer factors of 6741 that divides 6741 without a remainder.

1,3,7,9,21,63,107,321,749,963,2247,6741

Greatest Common Factor

We found the factors 729,6741 . The biggest common factor number is the GCF number.
So the greatest common factor 729,6741 is 9.


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 6301/729, 2547/6741

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 6301/729, 2547/6741?

Answer: LCM of Numerators as per given numbers 6301/729, 2547/6741 is

LCM of Numerators i.e. for 6301,2547 is 16048647

GCF of denominators i.e. for 729,6741 is 9.

Thus, LCM of Fractions is 1783183.Finally, LCM of Fractions for 6301/729, 2547/6741 is 1783183.