Least Common Multiple of 81/189, 38/939, 721/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/189, 38/939, 721/654 quickly i.e. 739746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/189, 38/939, 721/654 is 739746.

LCM(81/189, 38/939, 721/654) = 739746

LCM of 81/189, 38/939, 721/654

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 81/189,38/939,721/654

Given numbers are 81/189,38/939,721/654

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 81,38,721

Least Common Multiple of Numerators i.e. LCM of 81,38,721 is 2219238.

GCF of Denominators means GCF of 189,939,654 as per the given fractions.

GCF of 189,939,654 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,38,721

LCM of Fractions 81/189,38/939,721/654 is 739746

Given numbers has no common factors except 1. So, there LCM is their product i.e 2219238

Least Common Multiple of 81,38,721 with GCF Formula

Least Common Multiple of 81,38,721 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 81,38,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,38,721) = 1

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

GCF(81,38,721) x common factors =1 x 1 = 1

LCM(81,38,721) = ( 81 × 38 × 721 ) / 1

LCM(81,38,721) = 2219238 / 1

LCM(81,38,721) = 2219238


Lets's calculate GCF of 189,939,654

3 189, 939, 654
63, 313, 218

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2219238/3

Therefore the LCM of Fractions 81/189,38/939,721/654 is 739746

Greatest Common Factor of 189,939,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,939,654 By Matching Biggest Common Factor Method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 189,939,654 . The biggest common factor number is the GCF number.
So the greatest common factor 189,939,654 is 3.


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 81/189, 38/939, 721/654

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 81/189, 38/939, 721/654?

Answer: LCM of Numerators as per given numbers 81/189, 38/939, 721/654 is

LCM of Numerators i.e. for 81,38,721 is 2219238

GCF of denominators i.e. for 189,939,654 is 3.

Thus, LCM of Fractions is 739746.Finally, LCM of Fractions for 81/189, 38/939, 721/654 is 739746.