Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/241, 5515/7998 quickly i.e. 452230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/241, 5515/7998 is 452230.
LCM(82/241, 5515/7998) = 452230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/241,5515/7998
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 82,5515
Least Common Multiple of Numerators i.e. LCM of 82,5515 is 452230.
GCF of Denominators means GCF of 241,7998 as per the given fractions.
GCF of 241,7998 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,5515
Given numbers has no common factors except 1. So, there LCM is their product i.e 452230
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 82,5515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,5515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,5515) x common factors =1 x 1 = 1
LCM(82,5515) = ( 82 × 5515 ) / 1
LCM(82,5515) = 452230 / 1
LCM(82,5515) = 452230
Lets's calculate GCF of 241,7998
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 452230/1
Therefore the LCM of Fractions 82/241,5515/7998 is 452230
Factors of 241
List of positive integer factors of 241 that divides 241 without a remainder.
1,241
Factors of 7998
List of positive integer factors of 7998 that divides 7998 without a remainder.
1,2,3,6,31,43,62,86,93,129,186,258,1333,2666,3999,7998
Greatest Common Factor
We found the factors 241,7998 . The biggest common factor number is the GCF number.
So the greatest common factor 241,7998 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 82/241, 5515/7998?
Answer: LCM of Numerators as per given numbers 82/241, 5515/7998 is
LCM of Numerators i.e. for 82,5515 is 452230
GCF of denominators i.e. for 241,7998 is 1.
Thus, LCM of Fractions is 452230.Finally, LCM of Fractions for 82/241, 5515/7998 is 452230.