Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9935/492, 6245/6093 quickly i.e. 12408815/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9935/492, 6245/6093 is 12408815/3.
LCM(9935/492, 6245/6093) = 12408815/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9935/492,6245/6093
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 9935,6245
Least Common Multiple of Numerators i.e. LCM of 9935,6245 is 12408815.
GCF of Denominators means GCF of 492,6093 as per the given fractions.
GCF of 492,6093 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9935,6245
5 | 9935, 6245 |
1987, 1249 |
∴ So the LCM of the given numbers is 5 x 1987 x 1249 = 12408815
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 9935,6245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9935,6245) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(9935,6245) x common factors =5 x 1 = 5
LCM(9935,6245) = ( 9935 × 6245 ) / 5
LCM(9935,6245) = 62044075 / 5
LCM(9935,6245) = 12408815
Lets's calculate GCF of 492,6093
3 | 492, 6093 |
164, 2031 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12408815/3
Therefore the LCM of Fractions 9935/492,6245/6093 is 12408815/3
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Factors of 6093
List of positive integer factors of 6093 that divides 6093 without a remainder.
1,3,9,677,2031,6093
Greatest Common Factor
We found the factors 492,6093 . The biggest common factor number is the GCF number.
So the greatest common factor 492,6093 is 3.
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 9935/492, 6245/6093?
Answer: LCM of Numerators as per given numbers 9935/492, 6245/6093 is
LCM of Numerators i.e. for 9935,6245 is 12408815
GCF of denominators i.e. for 492,6093 is 3.
Thus, LCM of Fractions is 12408815/3.Finally, LCM of Fractions for 9935/492, 6245/6093 is 12408815/3.