Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8105/91, 1308/522 quickly i.e. 10601340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8105/91, 1308/522 is 10601340.
LCM(8105/91, 1308/522) = 10601340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8105/91,1308/522
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 8105,1308
Least Common Multiple of Numerators i.e. LCM of 8105,1308 is 10601340.
GCF of Denominators means GCF of 91,522 as per the given fractions.
GCF of 91,522 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8105,1308
Given numbers has no common factors except 1. So, there LCM is their product i.e 10601340
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 8105,1308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8105,1308) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8105,1308) x common factors =1 x 1 = 1
LCM(8105,1308) = ( 8105 × 1308 ) / 1
LCM(8105,1308) = 10601340 / 1
LCM(8105,1308) = 10601340
Lets's calculate GCF of 91,522
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10601340/1
Therefore the LCM of Fractions 8105/91,1308/522 is 10601340
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Greatest Common Factor
We found the factors 91,522 . The biggest common factor number is the GCF number.
So the greatest common factor 91,522 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 8105/91, 1308/522?
Answer: LCM of Numerators as per given numbers 8105/91, 1308/522 is
LCM of Numerators i.e. for 8105,1308 is 10601340
GCF of denominators i.e. for 91,522 is 1.
Thus, LCM of Fractions is 10601340.Finally, LCM of Fractions for 8105/91, 1308/522 is 10601340.