Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9201/695, 9101/323 quickly i.e. 83738301 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9201/695, 9101/323 is 83738301.
LCM(9201/695, 9101/323) = 83738301
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9201/695,9101/323
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 9201,9101
Least Common Multiple of Numerators i.e. LCM of 9201,9101 is 83738301.
GCF of Denominators means GCF of 695,323 as per the given fractions.
GCF of 695,323 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9201,9101
Given numbers has no common factors except 1. So, there LCM is their product i.e 83738301
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 9201,9101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9201,9101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9201,9101) x common factors =1 x 1 = 1
LCM(9201,9101) = ( 9201 × 9101 ) / 1
LCM(9201,9101) = 83738301 / 1
LCM(9201,9101) = 83738301
Lets's calculate GCF of 695,323
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83738301/1
Therefore the LCM of Fractions 9201/695,9101/323 is 83738301
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Greatest Common Factor
We found the factors 695,323 . The biggest common factor number is the GCF number.
So the greatest common factor 695,323 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 9201/695, 9101/323?
Answer: LCM of Numerators as per given numbers 9201/695, 9101/323 is
LCM of Numerators i.e. for 9201,9101 is 83738301
GCF of denominators i.e. for 695,323 is 1.
Thus, LCM of Fractions is 83738301.Finally, LCM of Fractions for 9201/695, 9101/323 is 83738301.