Least Common Multiple of 81/20, 68/487, 717/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/20, 68/487, 717/997 quickly i.e. 1316412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/20, 68/487, 717/997 is 1316412.

LCM(81/20, 68/487, 717/997) = 1316412

LCM of 81/20, 68/487, 717/997

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 81/20,68/487,717/997

Given numbers are 81/20,68/487,717/997

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 81,68,717

Least Common Multiple of Numerators i.e. LCM of 81,68,717 is 1316412.

GCF of Denominators means GCF of 20,487,997 as per the given fractions.

GCF of 20,487,997 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,68,717

LCM of Fractions 81/20,68/487,717/997 is 1316412

3 81, 68, 717
27, 68, 239

∴ So the LCM of the given numbers is 3 x 27 x 68 x 239 = 1316412

Least Common Multiple of 81,68,717 with GCF Formula

Least Common Multiple of 81,68,717 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 81,68,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,68,717) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(81,68,717) x common factors =1 x 3 = 3

LCM(81,68,717) = ( 81 × 68 × 717 ) / 3

LCM(81,68,717) = 3949236 / 3

LCM(81,68,717) = 1316412


Lets's calculate GCF of 20,487,997

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1316412/1

Therefore the LCM of Fractions 81/20,68/487,717/997 is 1316412

Greatest Common Factor of 20,487,997 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,487,997 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 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Greatest Common Factor

We found the factors 20,487,997 . The biggest common factor number is the GCF number.
So the greatest common factor 20,487,997 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 81/20, 68/487, 717/997

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 81/20, 68/487, 717/997?

Answer: LCM of Numerators as per given numbers 81/20, 68/487, 717/997 is

LCM of Numerators i.e. for 81,68,717 is 1316412

GCF of denominators i.e. for 20,487,997 is 1.

Thus, LCM of Fractions is 1316412.Finally, LCM of Fractions for 81/20, 68/487, 717/997 is 1316412.