Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9511/206, 8990/591 quickly i.e. 85503890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9511/206, 8990/591 is 85503890.
LCM(9511/206, 8990/591) = 85503890
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9511/206,8990/591
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 9511,8990
Least Common Multiple of Numerators i.e. LCM of 9511,8990 is 85503890.
GCF of Denominators means GCF of 206,591 as per the given fractions.
GCF of 206,591 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9511,8990
Given numbers has no common factors except 1. So, there LCM is their product i.e 85503890
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 9511,8990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9511,8990) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9511,8990) x common factors =1 x 1 = 1
LCM(9511,8990) = ( 9511 × 8990 ) / 1
LCM(9511,8990) = 85503890 / 1
LCM(9511,8990) = 85503890
Lets's calculate GCF of 206,591
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85503890/1
Therefore the LCM of Fractions 9511/206,8990/591 is 85503890
Factors of 206
List of positive integer factors of 206 that divides 206 without a remainder.
1,2,103,206
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1,3,197,591
Greatest Common Factor
We found the factors 206,591 . The biggest common factor number is the GCF number.
So the greatest common factor 206,591 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 9511/206, 8990/591?
Answer: LCM of Numerators as per given numbers 9511/206, 8990/591 is
LCM of Numerators i.e. for 9511,8990 is 85503890
GCF of denominators i.e. for 206,591 is 1.
Thus, LCM of Fractions is 85503890.Finally, LCM of Fractions for 9511/206, 8990/591 is 85503890.