Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9996/449, 2706/3315 quickly i.e. 4508196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9996/449, 2706/3315 is 4508196.
LCM(9996/449, 2706/3315) = 4508196
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9996/449,2706/3315
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 9996,2706
Least Common Multiple of Numerators i.e. LCM of 9996,2706 is 4508196.
GCF of Denominators means GCF of 449,3315 as per the given fractions.
GCF of 449,3315 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9996,2706
2 | 9996, 2706 |
3 | 4998, 1353 |
1666, 451 |
∴ So the LCM of the given numbers is 2 x 3 x 1666 x 451 = 4508196
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 9996,2706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9996,2706) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(9996,2706) x common factors =6 x 1 = 6
LCM(9996,2706) = ( 9996 × 2706 ) / 6
LCM(9996,2706) = 27049176 / 6
LCM(9996,2706) = 4508196
Lets's calculate GCF of 449,3315
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4508196/1
Therefore the LCM of Fractions 9996/449,2706/3315 is 4508196
Factors of 449
List of positive integer factors of 449 that divides 449 without a remainder.
1,449
Factors of 3315
List of positive integer factors of 3315 that divides 3315 without a remainder.
1,3,5,13,15,17,39,51,65,85,195,221,255,663,1105,3315
Greatest Common Factor
We found the factors 449,3315 . The biggest common factor number is the GCF number.
So the greatest common factor 449,3315 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 9996/449, 2706/3315?
Answer: LCM of Numerators as per given numbers 9996/449, 2706/3315 is
LCM of Numerators i.e. for 9996,2706 is 4508196
GCF of denominators i.e. for 449,3315 is 1.
Thus, LCM of Fractions is 4508196.Finally, LCM of Fractions for 9996/449, 2706/3315 is 4508196.