Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/982, 4349/5805 quickly i.e. 156564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/982, 4349/5805 is 156564.
LCM(36/982, 4349/5805) = 156564
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/982,4349/5805
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 36,4349
Least Common Multiple of Numerators i.e. LCM of 36,4349 is 156564.
GCF of Denominators means GCF of 982,5805 as per the given fractions.
GCF of 982,5805 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,4349
Given numbers has no common factors except 1. So, there LCM is their product i.e 156564
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 36,4349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,4349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(36,4349) x common factors =1 x 1 = 1
LCM(36,4349) = ( 36 × 4349 ) / 1
LCM(36,4349) = 156564 / 1
LCM(36,4349) = 156564
Lets's calculate GCF of 982,5805
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156564/1
Therefore the LCM of Fractions 36/982,4349/5805 is 156564
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Factors of 5805
List of positive integer factors of 5805 that divides 5805 without a remainder.
1,3,5,9,15,27,43,45,129,135,215,387,645,1161,1935,5805
Greatest Common Factor
We found the factors 982,5805 . The biggest common factor number is the GCF number.
So the greatest common factor 982,5805 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 36/982, 4349/5805?
Answer: LCM of Numerators as per given numbers 36/982, 4349/5805 is
LCM of Numerators i.e. for 36,4349 is 156564
GCF of denominators i.e. for 982,5805 is 1.
Thus, LCM of Fractions is 156564.Finally, LCM of Fractions for 36/982, 4349/5805 is 156564.