Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 563/15, 582/4966 quickly i.e. 327666 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 563/15, 582/4966 is 327666.
LCM(563/15, 582/4966) = 327666
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 563/15,582/4966
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 563,582
Least Common Multiple of Numerators i.e. LCM of 563,582 is 327666.
GCF of Denominators means GCF of 15,4966 as per the given fractions.
GCF of 15,4966 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 563,582
Given numbers has no common factors except 1. So, there LCM is their product i.e 327666
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 563,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(563,582) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(563,582) x common factors =1 x 1 = 1
LCM(563,582) = ( 563 × 582 ) / 1
LCM(563,582) = 327666 / 1
LCM(563,582) = 327666
Lets's calculate GCF of 15,4966
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 327666/1
Therefore the LCM of Fractions 563/15,582/4966 is 327666
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 4966
List of positive integer factors of 4966 that divides 4966 without a remainder.
1,2,13,26,191,382,2483,4966
Greatest Common Factor
We found the factors 15,4966 . The biggest common factor number is the GCF number.
So the greatest common factor 15,4966 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 563/15, 582/4966?
Answer: LCM of Numerators as per given numbers 563/15, 582/4966 is
LCM of Numerators i.e. for 563,582 is 327666
GCF of denominators i.e. for 15,4966 is 1.
Thus, LCM of Fractions is 327666.Finally, LCM of Fractions for 563/15, 582/4966 is 327666.