Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 24/884, 5685/4392 quickly i.e. 11370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 24/884, 5685/4392 is 11370.
LCM(24/884, 5685/4392) = 11370
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 24/884,5685/4392
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 24,5685
Least Common Multiple of Numerators i.e. LCM of 24,5685 is 45480.
GCF of Denominators means GCF of 884,4392 as per the given fractions.
GCF of 884,4392 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 24,5685
3 | 24, 5685 |
8, 1895 |
∴ So the LCM of the given numbers is 3 x 8 x 1895 = 45480
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 24,5685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,5685) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(24,5685) x common factors =3 x 1 = 3
LCM(24,5685) = ( 24 × 5685 ) / 3
LCM(24,5685) = 136440 / 3
LCM(24,5685) = 45480
Lets's calculate GCF of 884,4392
2 | 884, 4392 |
2 | 442, 2196 |
221, 1098 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45480/4
Therefore the LCM of Fractions 24/884,5685/4392 is 11370
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
Factors of 4392
List of positive integer factors of 4392 that divides 4392 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,61,72,122,183,244,366,488,549,732,1098,1464,2196,4392
Greatest Common Factor
We found the factors 884,4392 . The biggest common factor number is the GCF number.
So the greatest common factor 884,4392 is 4.
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 24/884, 5685/4392?
Answer: LCM of Numerators as per given numbers 24/884, 5685/4392 is
LCM of Numerators i.e. for 24,5685 is 45480
GCF of denominators i.e. for 884,4392 is 4.
Thus, LCM of Fractions is 11370.Finally, LCM of Fractions for 24/884, 5685/4392 is 11370.