Least Common Multiple of 204/50, 156/37, 394/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 204/50, 156/37, 394/517 quickly i.e. 522444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 204/50, 156/37, 394/517 is 522444.

LCM(204/50, 156/37, 394/517) = 522444

LCM of 204/50, 156/37, 394/517

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 204/50,156/37,394/517

Given numbers are 204/50,156/37,394/517

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 204,156,394

Least Common Multiple of Numerators i.e. LCM of 204,156,394 is 522444.

GCF of Denominators means GCF of 50,37,517 as per the given fractions.

GCF of 50,37,517 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 204,156,394

LCM of Fractions 204/50,156/37,394/517 is 522444

2 204, 156, 394
2 102, 78, 197
3 51, 39, 197
17, 13, 197

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 13 x 197 = 522444

Least Common Multiple of 204,156,394 with GCF Formula

Least Common Multiple of 204,156,394 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 204,156,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,156,394) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(204,156,394) x common factors =2 x 12 = 24

LCM(204,156,394) = ( 204 × 156 × 394 ) / 24

LCM(204,156,394) = 12538656 / 24

LCM(204,156,394) = 522444


Lets's calculate GCF of 50,37,517

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 522444/1

Therefore the LCM of Fractions 204/50,156/37,394/517 is 522444

Greatest Common Factor of 50,37,517 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,37,517 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Greatest Common Factor

We found the factors 50,37,517 . The biggest common factor number is the GCF number.
So the greatest common factor 50,37,517 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 204/50, 156/37, 394/517

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 204/50, 156/37, 394/517?

Answer: LCM of Numerators as per given numbers 204/50, 156/37, 394/517 is

LCM of Numerators i.e. for 204,156,394 is 522444

GCF of denominators i.e. for 50,37,517 is 1.

Thus, LCM of Fractions is 522444.Finally, LCM of Fractions for 204/50, 156/37, 394/517 is 522444.