Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9939/898, 3588/579 quickly i.e. 11887044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9939/898, 3588/579 is 11887044.
LCM(9939/898, 3588/579) = 11887044
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9939/898,3588/579
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 9939,3588
Least Common Multiple of Numerators i.e. LCM of 9939,3588 is 11887044.
GCF of Denominators means GCF of 898,579 as per the given fractions.
GCF of 898,579 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9939,3588
3 | 9939, 3588 |
3313, 1196 |
∴ So the LCM of the given numbers is 3 x 3313 x 1196 = 11887044
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 9939,3588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9939,3588) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(9939,3588) x common factors =3 x 1 = 3
LCM(9939,3588) = ( 9939 × 3588 ) / 3
LCM(9939,3588) = 35661132 / 3
LCM(9939,3588) = 11887044
Lets's calculate GCF of 898,579
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11887044/1
Therefore the LCM of Fractions 9939/898,3588/579 is 11887044
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Factors of 579
List of positive integer factors of 579 that divides 579 without a remainder.
1,3,193,579
Greatest Common Factor
We found the factors 898,579 . The biggest common factor number is the GCF number.
So the greatest common factor 898,579 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 9939/898, 3588/579?
Answer: LCM of Numerators as per given numbers 9939/898, 3588/579 is
LCM of Numerators i.e. for 9939,3588 is 11887044
GCF of denominators i.e. for 898,579 is 1.
Thus, LCM of Fractions is 11887044.Finally, LCM of Fractions for 9939/898, 3588/579 is 11887044.