Least Common Multiple of 204/30, 208/2038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 204/30, 208/2038 quickly i.e. 5304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 204/30, 208/2038 is 5304.

LCM(204/30, 208/2038) = 5304

LCM of 204/30, 208/2038

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 204/30,208/2038

Given numbers are 204/30,208/2038

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 204,208

Least Common Multiple of Numerators i.e. LCM of 204,208 is 10608.

GCF of Denominators means GCF of 30,2038 as per the given fractions.

GCF of 30,2038 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 204,208

LCM of Fractions 204/30,208/2038 is 5304

2 204, 208
2 102, 104
51, 52

∴ So the LCM of the given numbers is 2 x 2 x 51 x 52 = 10608

Least Common Multiple of 204,208 with GCF Formula

Least Common Multiple of 204,208 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 204,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,208) = 4

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

GCF(204,208) x common factors =4 x 1 = 4

LCM(204,208) = ( 204 × 208 ) / 4

LCM(204,208) = 42432 / 4

LCM(204,208) = 10608


Lets's calculate GCF of 30,2038

2 30, 2038
15, 1019

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10608/2

Therefore the LCM of Fractions 204/30,208/2038 is 5304

Greatest Common Factor of 30,2038 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,2038 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 2038

List of positive integer factors of 2038 that divides 2038 without a remainder.

1,2,1019,2038

Greatest Common Factor

We found the factors 30,2038 . The biggest common factor number is the GCF number.
So the greatest common factor 30,2038 is 2.


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 204/30, 208/2038

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 204/30, 208/2038?

Answer: LCM of Numerators as per given numbers 204/30, 208/2038 is

LCM of Numerators i.e. for 204,208 is 10608

GCF of denominators i.e. for 30,2038 is 2.

Thus, LCM of Fractions is 5304.Finally, LCM of Fractions for 204/30, 208/2038 is 5304.