Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/510, 9974/5666 quickly i.e. 39896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/510, 9974/5666 is 39896.
LCM(16/510, 9974/5666) = 39896
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/510,9974/5666
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 16,9974
Least Common Multiple of Numerators i.e. LCM of 16,9974 is 79792.
GCF of Denominators means GCF of 510,5666 as per the given fractions.
GCF of 510,5666 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,9974
2 | 16, 9974 |
8, 4987 |
∴ So the LCM of the given numbers is 2 x 8 x 4987 = 79792
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 16,9974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,9974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(16,9974) x common factors =2 x 1 = 2
LCM(16,9974) = ( 16 × 9974 ) / 2
LCM(16,9974) = 159584 / 2
LCM(16,9974) = 79792
Lets's calculate GCF of 510,5666
2 | 510, 5666 |
255, 2833 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79792/2
Therefore the LCM of Fractions 16/510,9974/5666 is 39896
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Factors of 5666
List of positive integer factors of 5666 that divides 5666 without a remainder.
1,2,2833,5666
Greatest Common Factor
We found the factors 510,5666 . The biggest common factor number is the GCF number.
So the greatest common factor 510,5666 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 16/510, 9974/5666?
Answer: LCM of Numerators as per given numbers 16/510, 9974/5666 is
LCM of Numerators i.e. for 16,9974 is 79792
GCF of denominators i.e. for 510,5666 is 2.
Thus, LCM of Fractions is 39896.Finally, LCM of Fractions for 16/510, 9974/5666 is 39896.