Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8015/216, 3184/982 quickly i.e. 12759880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8015/216, 3184/982 is 12759880.
LCM(8015/216, 3184/982) = 12759880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8015/216,3184/982
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 8015,3184
Least Common Multiple of Numerators i.e. LCM of 8015,3184 is 25519760.
GCF of Denominators means GCF of 216,982 as per the given fractions.
GCF of 216,982 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8015,3184
Given numbers has no common factors except 1. So, there LCM is their product i.e 25519760
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 8015,3184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8015,3184) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8015,3184) x common factors =1 x 1 = 1
LCM(8015,3184) = ( 8015 × 3184 ) / 1
LCM(8015,3184) = 25519760 / 1
LCM(8015,3184) = 25519760
Lets's calculate GCF of 216,982
2 | 216, 982 |
108, 491 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25519760/2
Therefore the LCM of Fractions 8015/216,3184/982 is 12759880
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Greatest Common Factor
We found the factors 216,982 . The biggest common factor number is the GCF number.
So the greatest common factor 216,982 is 2.
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 8015/216, 3184/982?
Answer: LCM of Numerators as per given numbers 8015/216, 3184/982 is
LCM of Numerators i.e. for 8015,3184 is 25519760
GCF of denominators i.e. for 216,982 is 2.
Thus, LCM of Fractions is 12759880.Finally, LCM of Fractions for 8015/216, 3184/982 is 12759880.