Least Common Multiple of 3/82, 96/817, 19/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/82, 96/817, 19/180 quickly i.e. 1824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/82, 96/817, 19/180 is 1824.

LCM(3/82, 96/817, 19/180) = 1824

LCM of 3/82, 96/817, 19/180

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 3/82,96/817,19/180

Given numbers are 3/82,96/817,19/180

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 3,96,19

Least Common Multiple of Numerators i.e. LCM of 3,96,19 is 1824.

GCF of Denominators means GCF of 82,817,180 as per the given fractions.

GCF of 82,817,180 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,96,19

LCM of Fractions 3/82,96/817,19/180 is 1824

3 3, 96, 19
1, 32, 19

∴ So the LCM of the given numbers is 3 x 1 x 32 x 19 = 1824

Least Common Multiple of 3,96,19 with GCF Formula

Least Common Multiple of 3,96,19 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 3,96,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,96,19) = 1

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

GCF(3,96,19) x common factors =1 x 3 = 3

LCM(3,96,19) = ( 3 × 96 × 19 ) / 3

LCM(3,96,19) = 5472 / 3

LCM(3,96,19) = 1824


Lets's calculate GCF of 82,817,180

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1824/1

Therefore the LCM of Fractions 3/82,96/817,19/180 is 1824

Greatest Common Factor of 82,817,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,817,180 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 82,817,180 . The biggest common factor number is the GCF number.
So the greatest common factor 82,817,180 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 3/82, 96/817, 19/180

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 3/82, 96/817, 19/180?

Answer: LCM of Numerators as per given numbers 3/82, 96/817, 19/180 is

LCM of Numerators i.e. for 3,96,19 is 1824

GCF of denominators i.e. for 82,817,180 is 1.

Thus, LCM of Fractions is 1824.Finally, LCM of Fractions for 3/82, 96/817, 19/180 is 1824.