Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4422/907, 4244/4923 quickly i.e. 9383484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4422/907, 4244/4923 is 9383484.
LCM(4422/907, 4244/4923) = 9383484
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4422/907,4244/4923
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 4422,4244
Least Common Multiple of Numerators i.e. LCM of 4422,4244 is 9383484.
GCF of Denominators means GCF of 907,4923 as per the given fractions.
GCF of 907,4923 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4422,4244
2 | 4422, 4244 |
2211, 2122 |
∴ So the LCM of the given numbers is 2 x 2211 x 2122 = 9383484
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 4422,4244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4422,4244) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4422,4244) x common factors =2 x 1 = 2
LCM(4422,4244) = ( 4422 × 4244 ) / 2
LCM(4422,4244) = 18766968 / 2
LCM(4422,4244) = 9383484
Lets's calculate GCF of 907,4923
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9383484/1
Therefore the LCM of Fractions 4422/907,4244/4923 is 9383484
Factors of 907
List of positive integer factors of 907 that divides 907 without a remainder.
1,907
Factors of 4923
List of positive integer factors of 4923 that divides 4923 without a remainder.
1,3,9,547,1641,4923
Greatest Common Factor
We found the factors 907,4923 . The biggest common factor number is the GCF number.
So the greatest common factor 907,4923 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 4422/907, 4244/4923?
Answer: LCM of Numerators as per given numbers 4422/907, 4244/4923 is
LCM of Numerators i.e. for 4422,4244 is 9383484
GCF of denominators i.e. for 907,4923 is 1.
Thus, LCM of Fractions is 9383484.Finally, LCM of Fractions for 4422/907, 4244/4923 is 9383484.