Least Common Multiple of 20/96, 329/81, 617/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/96, 329/81, 617/230 quickly i.e. 4059860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/96, 329/81, 617/230 is 4059860.

LCM(20/96, 329/81, 617/230) = 4059860

LCM of 20/96, 329/81, 617/230

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 20/96,329/81,617/230

Given numbers are 20/96,329/81,617/230

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 20,329,617

Least Common Multiple of Numerators i.e. LCM of 20,329,617 is 4059860.

GCF of Denominators means GCF of 96,81,230 as per the given fractions.

GCF of 96,81,230 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,329,617

LCM of Fractions 20/96,329/81,617/230 is 4059860

Given numbers has no common factors except 1. So, there LCM is their product i.e 4059860

Least Common Multiple of 20,329,617 with GCF Formula

Least Common Multiple of 20,329,617 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 20,329,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,329,617) = 1

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

GCF(20,329,617) x common factors =1 x 1 = 1

LCM(20,329,617) = ( 20 × 329 × 617 ) / 1

LCM(20,329,617) = 4059860 / 1

LCM(20,329,617) = 4059860


Lets's calculate GCF of 96,81,230

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4059860/1

Therefore the LCM of Fractions 20/96,329/81,617/230 is 4059860

Greatest Common Factor of 96,81,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,81,230 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 96,81,230 . The biggest common factor number is the GCF number.
So the greatest common factor 96,81,230 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 20/96, 329/81, 617/230

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 20/96, 329/81, 617/230?

Answer: LCM of Numerators as per given numbers 20/96, 329/81, 617/230 is

LCM of Numerators i.e. for 20,329,617 is 4059860

GCF of denominators i.e. for 96,81,230 is 1.

Thus, LCM of Fractions is 4059860.Finally, LCM of Fractions for 20/96, 329/81, 617/230 is 4059860.