Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9281/213, 8170/9299 quickly i.e. 75825770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9281/213, 8170/9299 is 75825770.
LCM(9281/213, 8170/9299) = 75825770
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9281/213,8170/9299
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 9281,8170
Least Common Multiple of Numerators i.e. LCM of 9281,8170 is 75825770.
GCF of Denominators means GCF of 213,9299 as per the given fractions.
GCF of 213,9299 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9281,8170
Given numbers has no common factors except 1. So, there LCM is their product i.e 75825770
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 9281,8170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9281,8170) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9281,8170) x common factors =1 x 1 = 1
LCM(9281,8170) = ( 9281 × 8170 ) / 1
LCM(9281,8170) = 75825770 / 1
LCM(9281,8170) = 75825770
Lets's calculate GCF of 213,9299
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75825770/1
Therefore the LCM of Fractions 9281/213,8170/9299 is 75825770
Factors of 213
List of positive integer factors of 213 that divides 213 without a remainder.
1,3,71,213
Factors of 9299
List of positive integer factors of 9299 that divides 9299 without a remainder.
1,17,547,9299
Greatest Common Factor
We found the factors 213,9299 . The biggest common factor number is the GCF number.
So the greatest common factor 213,9299 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 9281/213, 8170/9299?
Answer: LCM of Numerators as per given numbers 9281/213, 8170/9299 is
LCM of Numerators i.e. for 9281,8170 is 75825770
GCF of denominators i.e. for 213,9299 is 1.
Thus, LCM of Fractions is 75825770.Finally, LCM of Fractions for 9281/213, 8170/9299 is 75825770.