Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6216/820, 4440/3982 quickly i.e. 15540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6216/820, 4440/3982 is 15540.
LCM(6216/820, 4440/3982) = 15540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6216/820,4440/3982
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 6216,4440
Least Common Multiple of Numerators i.e. LCM of 6216,4440 is 31080.
GCF of Denominators means GCF of 820,3982 as per the given fractions.
GCF of 820,3982 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6216,4440
2 | 6216, 4440 |
2 | 3108, 2220 |
2 | 1554, 1110 |
3 | 777, 555 |
37 | 259, 185 |
7, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 37 x 7 x 5 = 31080
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 6216,4440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6216,4440) = 888
common factors(in case of two or more numbers have common factors) = 1
GCF(6216,4440) x common factors =888 x 1 = 888
LCM(6216,4440) = ( 6216 × 4440 ) / 888
LCM(6216,4440) = 27599040 / 888
LCM(6216,4440) = 31080
Lets's calculate GCF of 820,3982
2 | 820, 3982 |
410, 1991 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31080/2
Therefore the LCM of Fractions 6216/820,4440/3982 is 15540
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Factors of 3982
List of positive integer factors of 3982 that divides 3982 without a remainder.
1,2,11,22,181,362,1991,3982
Greatest Common Factor
We found the factors 820,3982 . The biggest common factor number is the GCF number.
So the greatest common factor 820,3982 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 6216/820, 4440/3982?
Answer: LCM of Numerators as per given numbers 6216/820, 4440/3982 is
LCM of Numerators i.e. for 6216,4440 is 31080
GCF of denominators i.e. for 820,3982 is 2.
Thus, LCM of Fractions is 15540.Finally, LCM of Fractions for 6216/820, 4440/3982 is 15540.