Least Common Multiple of 389/705, 666/309, 203/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 389/705, 666/309, 203/544 quickly i.e. 52592022 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 389/705, 666/309, 203/544 is 52592022.

LCM(389/705, 666/309, 203/544) = 52592022

LCM of 389/705, 666/309, 203/544

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 389/705,666/309,203/544

Given numbers are 389/705,666/309,203/544

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 389,666,203

Least Common Multiple of Numerators i.e. LCM of 389,666,203 is 52592022.

GCF of Denominators means GCF of 705,309,544 as per the given fractions.

GCF of 705,309,544 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 389,666,203

LCM of Fractions 389/705,666/309,203/544 is 52592022

Given numbers has no common factors except 1. So, there LCM is their product i.e 52592022

Least Common Multiple of 389,666,203 with GCF Formula

Least Common Multiple of 389,666,203 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 389,666,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(389,666,203) = 1

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

GCF(389,666,203) x common factors =1 x 1 = 1

LCM(389,666,203) = ( 389 × 666 × 203 ) / 1

LCM(389,666,203) = 52592022 / 1

LCM(389,666,203) = 52592022


Lets's calculate GCF of 705,309,544

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52592022/1

Therefore the LCM of Fractions 389/705,666/309,203/544 is 52592022

Greatest Common Factor of 705,309,544 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,309,544 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors 705,309,544 . The biggest common factor number is the GCF number.
So the greatest common factor 705,309,544 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 389/705, 666/309, 203/544

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 389/705, 666/309, 203/544?

Answer: LCM of Numerators as per given numbers 389/705, 666/309, 203/544 is

LCM of Numerators i.e. for 389,666,203 is 52592022

GCF of denominators i.e. for 705,309,544 is 1.

Thus, LCM of Fractions is 52592022.Finally, LCM of Fractions for 389/705, 666/309, 203/544 is 52592022.