Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/520, 9415/2051 quickly i.e. 837935 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/520, 9415/2051 is 837935.
LCM(89/520, 9415/2051) = 837935
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/520,9415/2051
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 89,9415
Least Common Multiple of Numerators i.e. LCM of 89,9415 is 837935.
GCF of Denominators means GCF of 520,2051 as per the given fractions.
GCF of 520,2051 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,9415
Given numbers has no common factors except 1. So, there LCM is their product i.e 837935
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 89,9415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,9415) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,9415) x common factors =1 x 1 = 1
LCM(89,9415) = ( 89 × 9415 ) / 1
LCM(89,9415) = 837935 / 1
LCM(89,9415) = 837935
Lets's calculate GCF of 520,2051
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 837935/1
Therefore the LCM of Fractions 89/520,9415/2051 is 837935
Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Factors of 2051
List of positive integer factors of 2051 that divides 2051 without a remainder.
1,7,293,2051
Greatest Common Factor
We found the factors 520,2051 . The biggest common factor number is the GCF number.
So the greatest common factor 520,2051 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 89/520, 9415/2051?
Answer: LCM of Numerators as per given numbers 89/520, 9415/2051 is
LCM of Numerators i.e. for 89,9415 is 837935
GCF of denominators i.e. for 520,2051 is 1.
Thus, LCM of Fractions is 837935.Finally, LCM of Fractions for 89/520, 9415/2051 is 837935.