Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 420/582, 5863/5808 quickly i.e. 410410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 420/582, 5863/5808 is 410410.
LCM(420/582, 5863/5808) = 410410
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 420/582,5863/5808
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 420,5863
Least Common Multiple of Numerators i.e. LCM of 420,5863 is 2462460.
GCF of Denominators means GCF of 582,5808 as per the given fractions.
GCF of 582,5808 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 420,5863
Given numbers has no common factors except 1. So, there LCM is their product i.e 2462460
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 420,5863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,5863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(420,5863) x common factors =1 x 1 = 1
LCM(420,5863) = ( 420 × 5863 ) / 1
LCM(420,5863) = 2462460 / 1
LCM(420,5863) = 2462460
Lets's calculate GCF of 582,5808
2 | 582, 5808 |
3 | 291, 2904 |
97, 968 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2462460/6
Therefore the LCM of Fractions 420/582,5863/5808 is 410410
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Factors of 5808
List of positive integer factors of 5808 that divides 5808 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,121,132,176,242,264,363,484,528,726,968,1452,1936,2904,5808
Greatest Common Factor
We found the factors 582,5808 . The biggest common factor number is the GCF number.
So the greatest common factor 582,5808 is 6.
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 420/582, 5863/5808?
Answer: LCM of Numerators as per given numbers 420/582, 5863/5808 is
LCM of Numerators i.e. for 420,5863 is 2462460
GCF of denominators i.e. for 582,5808 is 6.
Thus, LCM of Fractions is 410410.Finally, LCM of Fractions for 420/582, 5863/5808 is 410410.