Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8863/85, 9797/362 quickly i.e. 86830811 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8863/85, 9797/362 is 86830811.
LCM(8863/85, 9797/362) = 86830811
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8863/85,9797/362
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 8863,9797
Least Common Multiple of Numerators i.e. LCM of 8863,9797 is 86830811.
GCF of Denominators means GCF of 85,362 as per the given fractions.
GCF of 85,362 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8863,9797
Given numbers has no common factors except 1. So, there LCM is their product i.e 86830811
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 8863,9797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8863,9797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8863,9797) x common factors =1 x 1 = 1
LCM(8863,9797) = ( 8863 × 9797 ) / 1
LCM(8863,9797) = 86830811 / 1
LCM(8863,9797) = 86830811
Lets's calculate GCF of 85,362
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86830811/1
Therefore the LCM of Fractions 8863/85,9797/362 is 86830811
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 362
List of positive integer factors of 362 that divides 362 without a remainder.
1,2,181,362
Greatest Common Factor
We found the factors 85,362 . The biggest common factor number is the GCF number.
So the greatest common factor 85,362 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 8863/85, 9797/362?
Answer: LCM of Numerators as per given numbers 8863/85, 9797/362 is
LCM of Numerators i.e. for 8863,9797 is 86830811
GCF of denominators i.e. for 85,362 is 1.
Thus, LCM of Fractions is 86830811.Finally, LCM of Fractions for 8863/85, 9797/362 is 86830811.