Least Common Multiple of 489/20, 164/22, 191/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 489/20, 164/22, 191/731 quickly i.e. 15317436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 489/20, 164/22, 191/731 is 15317436.

LCM(489/20, 164/22, 191/731) = 15317436

LCM of 489/20, 164/22, 191/731

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 489/20,164/22,191/731

Given numbers are 489/20,164/22,191/731

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 489,164,191

Least Common Multiple of Numerators i.e. LCM of 489,164,191 is 15317436.

GCF of Denominators means GCF of 20,22,731 as per the given fractions.

GCF of 20,22,731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 489,164,191

LCM of Fractions 489/20,164/22,191/731 is 15317436

Given numbers has no common factors except 1. So, there LCM is their product i.e 15317436

Least Common Multiple of 489,164,191 with GCF Formula

Least Common Multiple of 489,164,191 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 489,164,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,164,191) = 1

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

GCF(489,164,191) x common factors =1 x 1 = 1

LCM(489,164,191) = ( 489 × 164 × 191 ) / 1

LCM(489,164,191) = 15317436 / 1

LCM(489,164,191) = 15317436


Lets's calculate GCF of 20,22,731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15317436/1

Therefore the LCM of Fractions 489/20,164/22,191/731 is 15317436

Greatest Common Factor of 20,22,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,22,731 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 20,22,731 . The biggest common factor number is the GCF number.
So the greatest common factor 20,22,731 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 489/20, 164/22, 191/731

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 489/20, 164/22, 191/731?

Answer: LCM of Numerators as per given numbers 489/20, 164/22, 191/731 is

LCM of Numerators i.e. for 489,164,191 is 15317436

GCF of denominators i.e. for 20,22,731 is 1.

Thus, LCM of Fractions is 15317436.Finally, LCM of Fractions for 489/20, 164/22, 191/731 is 15317436.