Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9982/887, 4224/9446 quickly i.e. 21081984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9982/887, 4224/9446 is 21081984.
LCM(9982/887, 4224/9446) = 21081984
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9982/887,4224/9446
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 9982,4224
Least Common Multiple of Numerators i.e. LCM of 9982,4224 is 21081984.
GCF of Denominators means GCF of 887,9446 as per the given fractions.
GCF of 887,9446 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9982,4224
2 | 9982, 4224 |
4991, 2112 |
∴ So the LCM of the given numbers is 2 x 4991 x 2112 = 21081984
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 9982,4224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9982,4224) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9982,4224) x common factors =2 x 1 = 2
LCM(9982,4224) = ( 9982 × 4224 ) / 2
LCM(9982,4224) = 42163968 / 2
LCM(9982,4224) = 21081984
Lets's calculate GCF of 887,9446
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21081984/1
Therefore the LCM of Fractions 9982/887,4224/9446 is 21081984
Factors of 887
List of positive integer factors of 887 that divides 887 without a remainder.
1,887
Factors of 9446
List of positive integer factors of 9446 that divides 9446 without a remainder.
1,2,4723,9446
Greatest Common Factor
We found the factors 887,9446 . The biggest common factor number is the GCF number.
So the greatest common factor 887,9446 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 9982/887, 4224/9446?
Answer: LCM of Numerators as per given numbers 9982/887, 4224/9446 is
LCM of Numerators i.e. for 9982,4224 is 21081984
GCF of denominators i.e. for 887,9446 is 1.
Thus, LCM of Fractions is 21081984.Finally, LCM of Fractions for 9982/887, 4224/9446 is 21081984.