Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9859/232, 2799/2826 quickly i.e. 27595341/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9859/232, 2799/2826 is 27595341/2.
LCM(9859/232, 2799/2826) = 27595341/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9859/232,2799/2826
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 9859,2799
Least Common Multiple of Numerators i.e. LCM of 9859,2799 is 27595341.
GCF of Denominators means GCF of 232,2826 as per the given fractions.
GCF of 232,2826 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9859,2799
Given numbers has no common factors except 1. So, there LCM is their product i.e 27595341
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 9859,2799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9859,2799) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9859,2799) x common factors =1 x 1 = 1
LCM(9859,2799) = ( 9859 × 2799 ) / 1
LCM(9859,2799) = 27595341 / 1
LCM(9859,2799) = 27595341
Lets's calculate GCF of 232,2826
2 | 232, 2826 |
116, 1413 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27595341/2
Therefore the LCM of Fractions 9859/232,2799/2826 is 27595341/2
Factors of 232
List of positive integer factors of 232 that divides 232 without a remainder.
1,2,4,8,29,58,116,232
Factors of 2826
List of positive integer factors of 2826 that divides 2826 without a remainder.
1,2,3,6,9,18,157,314,471,942,1413,2826
Greatest Common Factor
We found the factors 232,2826 . The biggest common factor number is the GCF number.
So the greatest common factor 232,2826 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 9859/232, 2799/2826?
Answer: LCM of Numerators as per given numbers 9859/232, 2799/2826 is
LCM of Numerators i.e. for 9859,2799 is 27595341
GCF of denominators i.e. for 232,2826 is 2.
Thus, LCM of Fractions is 27595341/2.Finally, LCM of Fractions for 9859/232, 2799/2826 is 27595341/2.