Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8577/585, 1054/225 quickly i.e. 9040158/45 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8577/585, 1054/225 is 9040158/45.
LCM(8577/585, 1054/225) = 9040158/45
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8577/585,1054/225
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 8577,1054
Least Common Multiple of Numerators i.e. LCM of 8577,1054 is 9040158.
GCF of Denominators means GCF of 585,225 as per the given fractions.
GCF of 585,225 is 45 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8577,1054
Given numbers has no common factors except 1. So, there LCM is their product i.e 9040158
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 8577,1054 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8577,1054) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8577,1054) x common factors =1 x 1 = 1
LCM(8577,1054) = ( 8577 × 1054 ) / 1
LCM(8577,1054) = 9040158 / 1
LCM(8577,1054) = 9040158
Lets's calculate GCF of 585,225
3 | 585, 225 |
3 | 195, 75 |
5 | 65, 25 |
13, 5 |
∴ So the GCF of the given numbers is 3 x 3 x 5 = 45
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9040158/45
Therefore the LCM of Fractions 8577/585,1054/225 is 9040158/45
Factors of 585
List of positive integer factors of 585 that divides 585 without a remainder.
1,3,5,9,13,15,39,45,65,117,195,585
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Greatest Common Factor
We found the factors 585,225 . The biggest common factor number is the GCF number.
So the greatest common factor 585,225 is 45.
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 8577/585, 1054/225?
Answer: LCM of Numerators as per given numbers 8577/585, 1054/225 is
LCM of Numerators i.e. for 8577,1054 is 9040158
GCF of denominators i.e. for 585,225 is 45.
Thus, LCM of Fractions is 9040158/45.Finally, LCM of Fractions for 8577/585, 1054/225 is 9040158/45.