Least Common Multiple of 6281/729, 5741/639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6281/729, 5741/639 quickly i.e. 36059221/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6281/729, 5741/639 is 36059221/9.

LCM(6281/729, 5741/639) = 36059221/9

LCM of 6281/729, 5741/639

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 6281/729,5741/639

Given numbers are 6281/729,5741/639

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 6281,5741

Least Common Multiple of Numerators i.e. LCM of 6281,5741 is 36059221.

GCF of Denominators means GCF of 729,639 as per the given fractions.

GCF of 729,639 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6281,5741

LCM of Fractions 6281/729,5741/639 is 36059221/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 36059221

Least Common Multiple of 6281,5741 with GCF Formula

Least Common Multiple of 6281,5741 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 6281,5741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6281,5741) = 1

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

GCF(6281,5741) x common factors =1 x 1 = 1

LCM(6281,5741) = ( 6281 × 5741 ) / 1

LCM(6281,5741) = 36059221 / 1

LCM(6281,5741) = 36059221


Lets's calculate GCF of 729,639

3 729, 639
3 243, 213
81, 71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36059221/9

Therefore the LCM of Fractions 6281/729,5741/639 is 36059221/9

Greatest Common Factor of 729,639 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,639 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 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Greatest Common Factor

We found the factors 729,639 . The biggest common factor number is the GCF number.
So the greatest common factor 729,639 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 6281/729, 5741/639

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 6281/729, 5741/639?

Answer: LCM of Numerators as per given numbers 6281/729, 5741/639 is

LCM of Numerators i.e. for 6281,5741 is 36059221

GCF of denominators i.e. for 729,639 is 9.

Thus, LCM of Fractions is 36059221/9.Finally, LCM of Fractions for 6281/729, 5741/639 is 36059221/9.