Least Common Multiple of 204/52, 590/5372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 204/52, 590/5372 quickly i.e. 15045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 204/52, 590/5372 is 15045.

LCM(204/52, 590/5372) = 15045

LCM of 204/52, 590/5372

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 204/52,590/5372

Given numbers are 204/52,590/5372

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 204,590

Least Common Multiple of Numerators i.e. LCM of 204,590 is 60180.

GCF of Denominators means GCF of 52,5372 as per the given fractions.

GCF of 52,5372 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 204,590

LCM of Fractions 204/52,590/5372 is 15045

2 204, 590
102, 295

∴ So the LCM of the given numbers is 2 x 102 x 295 = 60180

Least Common Multiple of 204,590 with GCF Formula

Least Common Multiple of 204,590 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 204,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,590) = 2

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

GCF(204,590) x common factors =2 x 1 = 2

LCM(204,590) = ( 204 × 590 ) / 2

LCM(204,590) = 120360 / 2

LCM(204,590) = 60180


Lets's calculate GCF of 52,5372

2 52, 5372
2 26, 2686
13, 1343

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60180/4

Therefore the LCM of Fractions 204/52,590/5372 is 15045

Greatest Common Factor of 52,5372 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,5372 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 5372

List of positive integer factors of 5372 that divides 5372 without a remainder.

1,2,4,17,34,68,79,158,316,1343,2686,5372

Greatest Common Factor

We found the factors 52,5372 . The biggest common factor number is the GCF number.
So the greatest common factor 52,5372 is 4.


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 204/52, 590/5372

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 204/52, 590/5372?

Answer: LCM of Numerators as per given numbers 204/52, 590/5372 is

LCM of Numerators i.e. for 204,590 is 60180

GCF of denominators i.e. for 52,5372 is 4.

Thus, LCM of Fractions is 15045.Finally, LCM of Fractions for 204/52, 590/5372 is 15045.