Least Common Multiple of 443/729, 223/541, 387/381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 443/729, 223/541, 387/381 quickly i.e. 38231343 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 443/729, 223/541, 387/381 is 38231343.

LCM(443/729, 223/541, 387/381) = 38231343

LCM of 443/729, 223/541, 387/381

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 443/729,223/541,387/381

Given numbers are 443/729,223/541,387/381

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 443,223,387

Least Common Multiple of Numerators i.e. LCM of 443,223,387 is 38231343.

GCF of Denominators means GCF of 729,541,381 as per the given fractions.

GCF of 729,541,381 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 443,223,387

LCM of Fractions 443/729,223/541,387/381 is 38231343

Given numbers has no common factors except 1. So, there LCM is their product i.e 38231343

Least Common Multiple of 443,223,387 with GCF Formula

Least Common Multiple of 443,223,387 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 443,223,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(443,223,387) = 1

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

GCF(443,223,387) x common factors =1 x 1 = 1

LCM(443,223,387) = ( 443 × 223 × 387 ) / 1

LCM(443,223,387) = 38231343 / 1

LCM(443,223,387) = 38231343


Lets's calculate GCF of 729,541,381

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38231343/1

Therefore the LCM of Fractions 443/729,223/541,387/381 is 38231343

Greatest Common Factor of 729,541,381 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,541,381 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 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Greatest Common Factor

We found the factors 729,541,381 . The biggest common factor number is the GCF number.
So the greatest common factor 729,541,381 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 443/729, 223/541, 387/381

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 443/729, 223/541, 387/381?

Answer: LCM of Numerators as per given numbers 443/729, 223/541, 387/381 is

LCM of Numerators i.e. for 443,223,387 is 38231343

GCF of denominators i.e. for 729,541,381 is 1.

Thus, LCM of Fractions is 38231343.Finally, LCM of Fractions for 443/729, 223/541, 387/381 is 38231343.