Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4152/588, 9484/9899 quickly i.e. 9844392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4152/588, 9484/9899 is 9844392.
LCM(4152/588, 9484/9899) = 9844392
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4152/588,9484/9899
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 4152,9484
Least Common Multiple of Numerators i.e. LCM of 4152,9484 is 9844392.
GCF of Denominators means GCF of 588,9899 as per the given fractions.
GCF of 588,9899 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4152,9484
2 | 4152, 9484 |
2 | 2076, 4742 |
1038, 2371 |
∴ So the LCM of the given numbers is 2 x 2 x 1038 x 2371 = 9844392
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 4152,9484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4152,9484) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(4152,9484) x common factors =4 x 1 = 4
LCM(4152,9484) = ( 4152 × 9484 ) / 4
LCM(4152,9484) = 39377568 / 4
LCM(4152,9484) = 9844392
Lets's calculate GCF of 588,9899
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9844392/1
Therefore the LCM of Fractions 4152/588,9484/9899 is 9844392
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Factors of 9899
List of positive integer factors of 9899 that divides 9899 without a remainder.
1,19,521,9899
Greatest Common Factor
We found the factors 588,9899 . The biggest common factor number is the GCF number.
So the greatest common factor 588,9899 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 4152/588, 9484/9899?
Answer: LCM of Numerators as per given numbers 4152/588, 9484/9899 is
LCM of Numerators i.e. for 4152,9484 is 9844392
GCF of denominators i.e. for 588,9899 is 1.
Thus, LCM of Fractions is 9844392.Finally, LCM of Fractions for 4152/588, 9484/9899 is 9844392.