Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6990/447, 9444/2806 quickly i.e. 11002260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6990/447, 9444/2806 is 11002260.
LCM(6990/447, 9444/2806) = 11002260
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6990/447,9444/2806
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 6990,9444
Least Common Multiple of Numerators i.e. LCM of 6990,9444 is 11002260.
GCF of Denominators means GCF of 447,2806 as per the given fractions.
GCF of 447,2806 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6990,9444
2 | 6990, 9444 |
3 | 3495, 4722 |
1165, 1574 |
∴ So the LCM of the given numbers is 2 x 3 x 1165 x 1574 = 11002260
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 6990,9444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6990,9444) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(6990,9444) x common factors =6 x 1 = 6
LCM(6990,9444) = ( 6990 × 9444 ) / 6
LCM(6990,9444) = 66013560 / 6
LCM(6990,9444) = 11002260
Lets's calculate GCF of 447,2806
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11002260/1
Therefore the LCM of Fractions 6990/447,9444/2806 is 11002260
Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1,3,149,447
Factors of 2806
List of positive integer factors of 2806 that divides 2806 without a remainder.
1,2,23,46,61,122,1403,2806
Greatest Common Factor
We found the factors 447,2806 . The biggest common factor number is the GCF number.
So the greatest common factor 447,2806 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 6990/447, 9444/2806?
Answer: LCM of Numerators as per given numbers 6990/447, 9444/2806 is
LCM of Numerators i.e. for 6990,9444 is 11002260
GCF of denominators i.e. for 447,2806 is 1.
Thus, LCM of Fractions is 11002260.Finally, LCM of Fractions for 6990/447, 9444/2806 is 11002260.