Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9981/958, 4269/944 quickly i.e. 14202963/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9981/958, 4269/944 is 14202963/2.
LCM(9981/958, 4269/944) = 14202963/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9981/958,4269/944
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 9981,4269
Least Common Multiple of Numerators i.e. LCM of 9981,4269 is 14202963.
GCF of Denominators means GCF of 958,944 as per the given fractions.
GCF of 958,944 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9981,4269
3 | 9981, 4269 |
3327, 1423 |
∴ So the LCM of the given numbers is 3 x 3327 x 1423 = 14202963
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 9981,4269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9981,4269) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(9981,4269) x common factors =3 x 1 = 3
LCM(9981,4269) = ( 9981 × 4269 ) / 3
LCM(9981,4269) = 42608889 / 3
LCM(9981,4269) = 14202963
Lets's calculate GCF of 958,944
2 | 958, 944 |
479, 472 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14202963/2
Therefore the LCM of Fractions 9981/958,4269/944 is 14202963/2
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Factors of 944
List of positive integer factors of 944 that divides 944 without a remainder.
1,2,4,8,16,59,118,236,472,944
Greatest Common Factor
We found the factors 958,944 . The biggest common factor number is the GCF number.
So the greatest common factor 958,944 is 2.
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 9981/958, 4269/944?
Answer: LCM of Numerators as per given numbers 9981/958, 4269/944 is
LCM of Numerators i.e. for 9981,4269 is 14202963
GCF of denominators i.e. for 958,944 is 2.
Thus, LCM of Fractions is 14202963/2.Finally, LCM of Fractions for 9981/958, 4269/944 is 14202963/2.