Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 24/799, 93/884 quickly i.e. 744/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 24/799, 93/884 is 744/17.
LCM(24/799, 93/884) = 744/17
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 24/799,93/884
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 24,93
Least Common Multiple of Numerators i.e. LCM of 24,93 is 744.
GCF of Denominators means GCF of 799,884 as per the given fractions.
GCF of 799,884 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 24,93
3 | 24, 93 |
8, 31 |
∴ So the LCM of the given numbers is 3 x 8 x 31 = 744
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 24,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,93) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(24,93) x common factors =3 x 1 = 3
LCM(24,93) = ( 24 × 93 ) / 3
LCM(24,93) = 2232 / 3
LCM(24,93) = 744
Lets's calculate GCF of 799,884
17 | 799, 884 |
47, 52 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 744/17
Therefore the LCM of Fractions 24/799,93/884 is 744/17
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Greatest Common Factor
We found the factors 799,884 . The biggest common factor number is the GCF number.
So the greatest common factor 799,884 is 17.
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 24/799, 93/884?
Answer: LCM of Numerators as per given numbers 24/799, 93/884 is
LCM of Numerators i.e. for 24,93 is 744
GCF of denominators i.e. for 799,884 is 17.
Thus, LCM of Fractions is 744/17.Finally, LCM of Fractions for 24/799, 93/884 is 744/17.