Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8589/632, 8487/627 quickly i.e. 24298281 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8589/632, 8487/627 is 24298281.
LCM(8589/632, 8487/627) = 24298281
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8589/632,8487/627
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 8589,8487
Least Common Multiple of Numerators i.e. LCM of 8589,8487 is 24298281.
GCF of Denominators means GCF of 632,627 as per the given fractions.
GCF of 632,627 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8589,8487
3 | 8589, 8487 |
2863, 2829 |
∴ So the LCM of the given numbers is 3 x 2863 x 2829 = 24298281
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 8589,8487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8589,8487) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(8589,8487) x common factors =3 x 1 = 3
LCM(8589,8487) = ( 8589 × 8487 ) / 3
LCM(8589,8487) = 72894843 / 3
LCM(8589,8487) = 24298281
Lets's calculate GCF of 632,627
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24298281/1
Therefore the LCM of Fractions 8589/632,8487/627 is 24298281
Factors of 632
List of positive integer factors of 632 that divides 632 without a remainder.
1,2,4,8,79,158,316,632
Factors of 627
List of positive integer factors of 627 that divides 627 without a remainder.
1,3,11,19,33,57,209,627
Greatest Common Factor
We found the factors 632,627 . The biggest common factor number is the GCF number.
So the greatest common factor 632,627 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 8589/632, 8487/627?
Answer: LCM of Numerators as per given numbers 8589/632, 8487/627 is
LCM of Numerators i.e. for 8589,8487 is 24298281
GCF of denominators i.e. for 632,627 is 1.
Thus, LCM of Fractions is 24298281.Finally, LCM of Fractions for 8589/632, 8487/627 is 24298281.