Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3005/556, 5201/817 quickly i.e. 15629005 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3005/556, 5201/817 is 15629005.
LCM(3005/556, 5201/817) = 15629005
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3005/556,5201/817
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 3005,5201
Least Common Multiple of Numerators i.e. LCM of 3005,5201 is 15629005.
GCF of Denominators means GCF of 556,817 as per the given fractions.
GCF of 556,817 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3005,5201
Given numbers has no common factors except 1. So, there LCM is their product i.e 15629005
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 3005,5201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3005,5201) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3005,5201) x common factors =1 x 1 = 1
LCM(3005,5201) = ( 3005 × 5201 ) / 1
LCM(3005,5201) = 15629005 / 1
LCM(3005,5201) = 15629005
Lets's calculate GCF of 556,817
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15629005/1
Therefore the LCM of Fractions 3005/556,5201/817 is 15629005
Factors of 556
List of positive integer factors of 556 that divides 556 without a remainder.
1,2,4,139,278,556
Factors of 817
List of positive integer factors of 817 that divides 817 without a remainder.
1,19,43,817
Greatest Common Factor
We found the factors 556,817 . The biggest common factor number is the GCF number.
So the greatest common factor 556,817 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 3005/556, 5201/817?
Answer: LCM of Numerators as per given numbers 3005/556, 5201/817 is
LCM of Numerators i.e. for 3005,5201 is 15629005
GCF of denominators i.e. for 556,817 is 1.
Thus, LCM of Fractions is 15629005.Finally, LCM of Fractions for 3005/556, 5201/817 is 15629005.