Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 204/566, 5551/619 quickly i.e. 1132404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 204/566, 5551/619 is 1132404.
LCM(204/566, 5551/619) = 1132404
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 204/566,5551/619
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 204,5551
Least Common Multiple of Numerators i.e. LCM of 204,5551 is 1132404.
GCF of Denominators means GCF of 566,619 as per the given fractions.
GCF of 566,619 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 204,5551
Given numbers has no common factors except 1. So, there LCM is their product i.e 1132404
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 204,5551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,5551) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(204,5551) x common factors =1 x 1 = 1
LCM(204,5551) = ( 204 × 5551 ) / 1
LCM(204,5551) = 1132404 / 1
LCM(204,5551) = 1132404
Lets's calculate GCF of 566,619
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1132404/1
Therefore the LCM of Fractions 204/566,5551/619 is 1132404
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Factors of 619
List of positive integer factors of 619 that divides 619 without a remainder.
1,619
Greatest Common Factor
We found the factors 566,619 . The biggest common factor number is the GCF number.
So the greatest common factor 566,619 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 204/566, 5551/619?
Answer: LCM of Numerators as per given numbers 204/566, 5551/619 is
LCM of Numerators i.e. for 204,5551 is 1132404
GCF of denominators i.e. for 566,619 is 1.
Thus, LCM of Fractions is 1132404.Finally, LCM of Fractions for 204/566, 5551/619 is 1132404.