Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8817/911, 8366/721 quickly i.e. 73763022 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8817/911, 8366/721 is 73763022.
LCM(8817/911, 8366/721) = 73763022
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8817/911,8366/721
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 8817,8366
Least Common Multiple of Numerators i.e. LCM of 8817,8366 is 73763022.
GCF of Denominators means GCF of 911,721 as per the given fractions.
GCF of 911,721 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8817,8366
Given numbers has no common factors except 1. So, there LCM is their product i.e 73763022
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 8817,8366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8817,8366) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8817,8366) x common factors =1 x 1 = 1
LCM(8817,8366) = ( 8817 × 8366 ) / 1
LCM(8817,8366) = 73763022 / 1
LCM(8817,8366) = 73763022
Lets's calculate GCF of 911,721
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73763022/1
Therefore the LCM of Fractions 8817/911,8366/721 is 73763022
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Greatest Common Factor
We found the factors 911,721 . The biggest common factor number is the GCF number.
So the greatest common factor 911,721 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 8817/911, 8366/721?
Answer: LCM of Numerators as per given numbers 8817/911, 8366/721 is
LCM of Numerators i.e. for 8817,8366 is 73763022
GCF of denominators i.e. for 911,721 is 1.
Thus, LCM of Fractions is 73763022.Finally, LCM of Fractions for 8817/911, 8366/721 is 73763022.