Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3093/503, 9834/248 quickly i.e. 10138854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3093/503, 9834/248 is 10138854.
LCM(3093/503, 9834/248) = 10138854
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3093/503,9834/248
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 3093,9834
Least Common Multiple of Numerators i.e. LCM of 3093,9834 is 10138854.
GCF of Denominators means GCF of 503,248 as per the given fractions.
GCF of 503,248 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3093,9834
3 | 3093, 9834 |
1031, 3278 |
∴ So the LCM of the given numbers is 3 x 1031 x 3278 = 10138854
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 3093,9834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3093,9834) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(3093,9834) x common factors =3 x 1 = 3
LCM(3093,9834) = ( 3093 × 9834 ) / 3
LCM(3093,9834) = 30416562 / 3
LCM(3093,9834) = 10138854
Lets's calculate GCF of 503,248
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10138854/1
Therefore the LCM of Fractions 3093/503,9834/248 is 10138854
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1,503
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Greatest Common Factor
We found the factors 503,248 . The biggest common factor number is the GCF number.
So the greatest common factor 503,248 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 3093/503, 9834/248?
Answer: LCM of Numerators as per given numbers 3093/503, 9834/248 is
LCM of Numerators i.e. for 3093,9834 is 10138854
GCF of denominators i.e. for 503,248 is 1.
Thus, LCM of Fractions is 10138854.Finally, LCM of Fractions for 3093/503, 9834/248 is 10138854.