Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1909/515, 8086/792 quickly i.e. 15436174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1909/515, 8086/792 is 15436174.
LCM(1909/515, 8086/792) = 15436174
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1909/515,8086/792
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 1909,8086
Least Common Multiple of Numerators i.e. LCM of 1909,8086 is 15436174.
GCF of Denominators means GCF of 515,792 as per the given fractions.
GCF of 515,792 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1909,8086
Given numbers has no common factors except 1. So, there LCM is their product i.e 15436174
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 1909,8086 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1909,8086) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1909,8086) x common factors =1 x 1 = 1
LCM(1909,8086) = ( 1909 × 8086 ) / 1
LCM(1909,8086) = 15436174 / 1
LCM(1909,8086) = 15436174
Lets's calculate GCF of 515,792
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15436174/1
Therefore the LCM of Fractions 1909/515,8086/792 is 15436174
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Greatest Common Factor
We found the factors 515,792 . The biggest common factor number is the GCF number.
So the greatest common factor 515,792 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 1909/515, 8086/792?
Answer: LCM of Numerators as per given numbers 1909/515, 8086/792 is
LCM of Numerators i.e. for 1909,8086 is 15436174
GCF of denominators i.e. for 515,792 is 1.
Thus, LCM of Fractions is 15436174.Finally, LCM of Fractions for 1909/515, 8086/792 is 15436174.