Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 999/12, 573/8571 quickly i.e. 63603 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 999/12, 573/8571 is 63603.
LCM(999/12, 573/8571) = 63603
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 999/12,573/8571
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 999,573
Least Common Multiple of Numerators i.e. LCM of 999,573 is 190809.
GCF of Denominators means GCF of 12,8571 as per the given fractions.
GCF of 12,8571 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 999,573
3 | 999, 573 |
333, 191 |
∴ So the LCM of the given numbers is 3 x 333 x 191 = 190809
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 999,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,573) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(999,573) x common factors =3 x 1 = 3
LCM(999,573) = ( 999 × 573 ) / 3
LCM(999,573) = 572427 / 3
LCM(999,573) = 190809
Lets's calculate GCF of 12,8571
3 | 12, 8571 |
4, 2857 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190809/3
Therefore the LCM of Fractions 999/12,573/8571 is 63603
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 8571
List of positive integer factors of 8571 that divides 8571 without a remainder.
1,3,2857,8571
Greatest Common Factor
We found the factors 12,8571 . The biggest common factor number is the GCF number.
So the greatest common factor 12,8571 is 3.
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 999/12, 573/8571?
Answer: LCM of Numerators as per given numbers 999/12, 573/8571 is
LCM of Numerators i.e. for 999,573 is 190809
GCF of denominators i.e. for 12,8571 is 3.
Thus, LCM of Fractions is 63603.Finally, LCM of Fractions for 999/12, 573/8571 is 63603.