Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9999/411, 5514/1773 quickly i.e. 6126054 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9999/411, 5514/1773 is 6126054.
LCM(9999/411, 5514/1773) = 6126054
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9999/411,5514/1773
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 9999,5514
Least Common Multiple of Numerators i.e. LCM of 9999,5514 is 18378162.
GCF of Denominators means GCF of 411,1773 as per the given fractions.
GCF of 411,1773 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9999,5514
3 | 9999, 5514 |
3333, 1838 |
∴ So the LCM of the given numbers is 3 x 3333 x 1838 = 18378162
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 9999,5514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9999,5514) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(9999,5514) x common factors =3 x 1 = 3
LCM(9999,5514) = ( 9999 × 5514 ) / 3
LCM(9999,5514) = 55134486 / 3
LCM(9999,5514) = 18378162
Lets's calculate GCF of 411,1773
3 | 411, 1773 |
137, 591 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18378162/3
Therefore the LCM of Fractions 9999/411,5514/1773 is 6126054
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Factors of 1773
List of positive integer factors of 1773 that divides 1773 without a remainder.
1,3,9,197,591,1773
Greatest Common Factor
We found the factors 411,1773 . The biggest common factor number is the GCF number.
So the greatest common factor 411,1773 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 9999/411, 5514/1773?
Answer: LCM of Numerators as per given numbers 9999/411, 5514/1773 is
LCM of Numerators i.e. for 9999,5514 is 18378162
GCF of denominators i.e. for 411,1773 is 3.
Thus, LCM of Fractions is 6126054.Finally, LCM of Fractions for 9999/411, 5514/1773 is 6126054.