Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 204/159, 3704/6841 quickly i.e. 188904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 204/159, 3704/6841 is 188904.
LCM(204/159, 3704/6841) = 188904
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 204/159,3704/6841
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 204,3704
Least Common Multiple of Numerators i.e. LCM of 204,3704 is 188904.
GCF of Denominators means GCF of 159,6841 as per the given fractions.
GCF of 159,6841 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 204,3704
2 | 204, 3704 |
2 | 102, 1852 |
51, 926 |
∴ So the LCM of the given numbers is 2 x 2 x 51 x 926 = 188904
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 204,3704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,3704) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(204,3704) x common factors =4 x 1 = 4
LCM(204,3704) = ( 204 × 3704 ) / 4
LCM(204,3704) = 755616 / 4
LCM(204,3704) = 188904
Lets's calculate GCF of 159,6841
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188904/1
Therefore the LCM of Fractions 204/159,3704/6841 is 188904
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Factors of 6841
List of positive integer factors of 6841 that divides 6841 without a remainder.
1,6841
Greatest Common Factor
We found the factors 159,6841 . The biggest common factor number is the GCF number.
So the greatest common factor 159,6841 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 204/159, 3704/6841?
Answer: LCM of Numerators as per given numbers 204/159, 3704/6841 is
LCM of Numerators i.e. for 204,3704 is 188904
GCF of denominators i.e. for 159,6841 is 1.
Thus, LCM of Fractions is 188904.Finally, LCM of Fractions for 204/159, 3704/6841 is 188904.