Least Common Multiple of 17/18, 192/85, 204/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/18, 192/85, 204/239 quickly i.e. 3264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/18, 192/85, 204/239 is 3264.

LCM(17/18, 192/85, 204/239) = 3264

LCM of 17/18, 192/85, 204/239

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 17/18,192/85,204/239

Given numbers are 17/18,192/85,204/239

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 17,192,204

Least Common Multiple of Numerators i.e. LCM of 17,192,204 is 3264.

GCF of Denominators means GCF of 18,85,239 as per the given fractions.

GCF of 18,85,239 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,192,204

LCM of Fractions 17/18,192/85,204/239 is 3264

2 17, 192, 204
2 17, 96, 102
3 17, 48, 51
17 17, 16, 17
1, 16, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 1 x 16 x 1 = 3264

Least Common Multiple of 17,192,204 with GCF Formula

Least Common Multiple of 17,192,204 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 17,192,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,192,204) = 1

common factors(in case of two or more numbers have common factors) = 204

GCF(17,192,204) x common factors =1 x 204 = 204

LCM(17,192,204) = ( 17 × 192 × 204 ) / 204

LCM(17,192,204) = 665856 / 204

LCM(17,192,204) = 3264


Lets's calculate GCF of 18,85,239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3264/1

Therefore the LCM of Fractions 17/18,192/85,204/239 is 3264

Greatest Common Factor of 18,85,239 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,85,239 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Greatest Common Factor

We found the factors 18,85,239 . The biggest common factor number is the GCF number.
So the greatest common factor 18,85,239 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 17/18, 192/85, 204/239

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 17/18, 192/85, 204/239?

Answer: LCM of Numerators as per given numbers 17/18, 192/85, 204/239 is

LCM of Numerators i.e. for 17,192,204 is 3264

GCF of denominators i.e. for 18,85,239 is 1.

Thus, LCM of Fractions is 3264.Finally, LCM of Fractions for 17/18, 192/85, 204/239 is 3264.