Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9909/414, 9549/5677 quickly i.e. 10513449 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9909/414, 9549/5677 is 10513449.
LCM(9909/414, 9549/5677) = 10513449
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9909/414,9549/5677
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 9909,9549
Least Common Multiple of Numerators i.e. LCM of 9909,9549 is 10513449.
GCF of Denominators means GCF of 414,5677 as per the given fractions.
GCF of 414,5677 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9909,9549
3 | 9909, 9549 |
3 | 3303, 3183 |
1101, 1061 |
∴ So the LCM of the given numbers is 3 x 3 x 1101 x 1061 = 10513449
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 9909,9549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9909,9549) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(9909,9549) x common factors =9 x 1 = 9
LCM(9909,9549) = ( 9909 × 9549 ) / 9
LCM(9909,9549) = 94621041 / 9
LCM(9909,9549) = 10513449
Lets's calculate GCF of 414,5677
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10513449/1
Therefore the LCM of Fractions 9909/414,9549/5677 is 10513449
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Factors of 5677
List of positive integer factors of 5677 that divides 5677 without a remainder.
1,7,811,5677
Greatest Common Factor
We found the factors 414,5677 . The biggest common factor number is the GCF number.
So the greatest common factor 414,5677 is 1.
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 9909/414, 9549/5677?
Answer: LCM of Numerators as per given numbers 9909/414, 9549/5677 is
LCM of Numerators i.e. for 9909,9549 is 10513449
GCF of denominators i.e. for 414,5677 is 1.
Thus, LCM of Fractions is 10513449.Finally, LCM of Fractions for 9909/414, 9549/5677 is 10513449.