Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8779/405, 3011/8309 quickly i.e. 26433569 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8779/405, 3011/8309 is 26433569.
LCM(8779/405, 3011/8309) = 26433569
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8779/405,3011/8309
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 8779,3011
Least Common Multiple of Numerators i.e. LCM of 8779,3011 is 26433569.
GCF of Denominators means GCF of 405,8309 as per the given fractions.
GCF of 405,8309 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8779,3011
Given numbers has no common factors except 1. So, there LCM is their product i.e 26433569
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 8779,3011 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8779,3011) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8779,3011) x common factors =1 x 1 = 1
LCM(8779,3011) = ( 8779 × 3011 ) / 1
LCM(8779,3011) = 26433569 / 1
LCM(8779,3011) = 26433569
Lets's calculate GCF of 405,8309
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26433569/1
Therefore the LCM of Fractions 8779/405,3011/8309 is 26433569
Factors of 405
List of positive integer factors of 405 that divides 405 without a remainder.
1,3,5,9,15,27,45,81,135,405
Factors of 8309
List of positive integer factors of 8309 that divides 8309 without a remainder.
1,7,1187,8309
Greatest Common Factor
We found the factors 405,8309 . The biggest common factor number is the GCF number.
So the greatest common factor 405,8309 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 8779/405, 3011/8309?
Answer: LCM of Numerators as per given numbers 8779/405, 3011/8309 is
LCM of Numerators i.e. for 8779,3011 is 26433569
GCF of denominators i.e. for 405,8309 is 1.
Thus, LCM of Fractions is 26433569.Finally, LCM of Fractions for 8779/405, 3011/8309 is 26433569.