Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2086/155, 6617/582 quickly i.e. 13803062 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2086/155, 6617/582 is 13803062.
LCM(2086/155, 6617/582) = 13803062
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2086/155,6617/582
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 2086,6617
Least Common Multiple of Numerators i.e. LCM of 2086,6617 is 13803062.
GCF of Denominators means GCF of 155,582 as per the given fractions.
GCF of 155,582 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2086,6617
Given numbers has no common factors except 1. So, there LCM is their product i.e 13803062
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 2086,6617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2086,6617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2086,6617) x common factors =1 x 1 = 1
LCM(2086,6617) = ( 2086 × 6617 ) / 1
LCM(2086,6617) = 13803062 / 1
LCM(2086,6617) = 13803062
Lets's calculate GCF of 155,582
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13803062/1
Therefore the LCM of Fractions 2086/155,6617/582 is 13803062
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1,5,31,155
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Greatest Common Factor
We found the factors 155,582 . The biggest common factor number is the GCF number.
So the greatest common factor 155,582 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 2086/155, 6617/582?
Answer: LCM of Numerators as per given numbers 2086/155, 6617/582 is
LCM of Numerators i.e. for 2086,6617 is 13803062
GCF of denominators i.e. for 155,582 is 1.
Thus, LCM of Fractions is 13803062.Finally, LCM of Fractions for 2086/155, 6617/582 is 13803062.