Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 809/80, 809/5562 quickly i.e. 809/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 809/80, 809/5562 is 809/2.
LCM(809/80, 809/5562) = 809/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 809/80,809/5562
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 809,809
Least Common Multiple of Numerators i.e. LCM of 809,809 is 809.
GCF of Denominators means GCF of 80,5562 as per the given fractions.
GCF of 80,5562 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 809,809
809 | 809, 809 |
1, 1 |
∴ So the LCM of the given numbers is 809 x 1 x 1 = 809
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 809,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,809) = 809
common factors(in case of two or more numbers have common factors) = 1
GCF(809,809) x common factors =809 x 1 = 809
LCM(809,809) = ( 809 × 809 ) / 809
LCM(809,809) = 654481 / 809
LCM(809,809) = 809
Lets's calculate GCF of 80,5562
2 | 80, 5562 |
40, 2781 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 809/2
Therefore the LCM of Fractions 809/80,809/5562 is 809/2
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 5562
List of positive integer factors of 5562 that divides 5562 without a remainder.
1,2,3,6,9,18,27,54,103,206,309,618,927,1854,2781,5562
Greatest Common Factor
We found the factors 80,5562 . The biggest common factor number is the GCF number.
So the greatest common factor 80,5562 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 809/80, 809/5562?
Answer: LCM of Numerators as per given numbers 809/80, 809/5562 is
LCM of Numerators i.e. for 809,809 is 809
GCF of denominators i.e. for 80,5562 is 2.
Thus, LCM of Fractions is 809/2.Finally, LCM of Fractions for 809/80, 809/5562 is 809/2.