Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 516/40, 5609/314 quickly i.e. 1447122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 516/40, 5609/314 is 1447122.
LCM(516/40, 5609/314) = 1447122
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 516/40,5609/314
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 516,5609
Least Common Multiple of Numerators i.e. LCM of 516,5609 is 2894244.
GCF of Denominators means GCF of 40,314 as per the given fractions.
GCF of 40,314 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 516,5609
Given numbers has no common factors except 1. So, there LCM is their product i.e 2894244
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 516,5609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,5609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(516,5609) x common factors =1 x 1 = 1
LCM(516,5609) = ( 516 × 5609 ) / 1
LCM(516,5609) = 2894244 / 1
LCM(516,5609) = 2894244
Lets's calculate GCF of 40,314
2 | 40, 314 |
20, 157 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2894244/2
Therefore the LCM of Fractions 516/40,5609/314 is 1447122
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 314
List of positive integer factors of 314 that divides 314 without a remainder.
1,2,157,314
Greatest Common Factor
We found the factors 40,314 . The biggest common factor number is the GCF number.
So the greatest common factor 40,314 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 516/40, 5609/314?
Answer: LCM of Numerators as per given numbers 516/40, 5609/314 is
LCM of Numerators i.e. for 516,5609 is 2894244
GCF of denominators i.e. for 40,314 is 2.
Thus, LCM of Fractions is 1447122.Finally, LCM of Fractions for 516/40, 5609/314 is 1447122.