Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 899/24, 348/7797 quickly i.e. 3596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 899/24, 348/7797 is 3596.
LCM(899/24, 348/7797) = 3596
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 899/24,348/7797
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 899,348
Least Common Multiple of Numerators i.e. LCM of 899,348 is 10788.
GCF of Denominators means GCF of 24,7797 as per the given fractions.
GCF of 24,7797 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 899,348
29 | 899, 348 |
31, 12 |
∴ So the LCM of the given numbers is 29 x 31 x 12 = 10788
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 899,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,348) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(899,348) x common factors =29 x 1 = 29
LCM(899,348) = ( 899 × 348 ) / 29
LCM(899,348) = 312852 / 29
LCM(899,348) = 10788
Lets's calculate GCF of 24,7797
3 | 24, 7797 |
8, 2599 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10788/3
Therefore the LCM of Fractions 899/24,348/7797 is 3596
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 7797
List of positive integer factors of 7797 that divides 7797 without a remainder.
1,3,23,69,113,339,2599,7797
Greatest Common Factor
We found the factors 24,7797 . The biggest common factor number is the GCF number.
So the greatest common factor 24,7797 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 899/24, 348/7797?
Answer: LCM of Numerators as per given numbers 899/24, 348/7797 is
LCM of Numerators i.e. for 899,348 is 10788
GCF of denominators i.e. for 24,7797 is 3.
Thus, LCM of Fractions is 3596.Finally, LCM of Fractions for 899/24, 348/7797 is 3596.