Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 241/255, 9102/9082 quickly i.e. 2193582 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 241/255, 9102/9082 is 2193582.
LCM(241/255, 9102/9082) = 2193582
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 241/255,9102/9082
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 241,9102
Least Common Multiple of Numerators i.e. LCM of 241,9102 is 2193582.
GCF of Denominators means GCF of 255,9082 as per the given fractions.
GCF of 255,9082 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 241,9102
Given numbers has no common factors except 1. So, there LCM is their product i.e 2193582
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 241,9102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,9102) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,9102) x common factors =1 x 1 = 1
LCM(241,9102) = ( 241 × 9102 ) / 1
LCM(241,9102) = 2193582 / 1
LCM(241,9102) = 2193582
Lets's calculate GCF of 255,9082
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2193582/1
Therefore the LCM of Fractions 241/255,9102/9082 is 2193582
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Factors of 9082
List of positive integer factors of 9082 that divides 9082 without a remainder.
1,2,19,38,239,478,4541,9082
Greatest Common Factor
We found the factors 255,9082 . The biggest common factor number is the GCF number.
So the greatest common factor 255,9082 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 241/255, 9102/9082?
Answer: LCM of Numerators as per given numbers 241/255, 9102/9082 is
LCM of Numerators i.e. for 241,9102 is 2193582
GCF of denominators i.e. for 255,9082 is 1.
Thus, LCM of Fractions is 2193582.Finally, LCM of Fractions for 241/255, 9102/9082 is 2193582.