Least Common Multiple of 193/827, 731/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 193/827, 731/729 quickly i.e. 141083 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 193/827, 731/729 is 141083.

LCM(193/827, 731/729) = 141083

LCM of 193/827, 731/729

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 193/827,731/729

Given numbers are 193/827,731/729

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 193,731

Least Common Multiple of Numerators i.e. LCM of 193,731 is 141083.

GCF of Denominators means GCF of 827,729 as per the given fractions.

GCF of 827,729 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 193,731

LCM of Fractions 193/827,731/729 is 141083

Given numbers has no common factors except 1. So, there LCM is their product i.e 141083

Least Common Multiple of 193,731 with GCF Formula

Least Common Multiple of 193,731 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 193,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(193,731) = 1

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

GCF(193,731) x common factors =1 x 1 = 1

LCM(193,731) = ( 193 × 731 ) / 1

LCM(193,731) = 141083 / 1

LCM(193,731) = 141083


Lets's calculate GCF of 827,729

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141083/1

Therefore the LCM of Fractions 193/827,731/729 is 141083

Greatest Common Factor of 827,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,729 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 729

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

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

Greatest Common Factor

We found the factors 827,729 . The biggest common factor number is the GCF number.
So the greatest common factor 827,729 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 193/827, 731/729

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 193/827, 731/729?

Answer: LCM of Numerators as per given numbers 193/827, 731/729 is

LCM of Numerators i.e. for 193,731 is 141083

GCF of denominators i.e. for 827,729 is 1.

Thus, LCM of Fractions is 141083.Finally, LCM of Fractions for 193/827, 731/729 is 141083.