Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 564/443, 9186/5590 quickly i.e. 863484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 564/443, 9186/5590 is 863484.
LCM(564/443, 9186/5590) = 863484
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 564/443,9186/5590
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 564,9186
Least Common Multiple of Numerators i.e. LCM of 564,9186 is 863484.
GCF of Denominators means GCF of 443,5590 as per the given fractions.
GCF of 443,5590 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 564,9186
2 | 564, 9186 |
3 | 282, 4593 |
94, 1531 |
∴ So the LCM of the given numbers is 2 x 3 x 94 x 1531 = 863484
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 564,9186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,9186) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(564,9186) x common factors =6 x 1 = 6
LCM(564,9186) = ( 564 × 9186 ) / 6
LCM(564,9186) = 5180904 / 6
LCM(564,9186) = 863484
Lets's calculate GCF of 443,5590
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 863484/1
Therefore the LCM of Fractions 564/443,9186/5590 is 863484
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1,443
Factors of 5590
List of positive integer factors of 5590 that divides 5590 without a remainder.
1,2,5,10,13,26,43,65,86,130,215,430,559,1118,2795,5590
Greatest Common Factor
We found the factors 443,5590 . The biggest common factor number is the GCF number.
So the greatest common factor 443,5590 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 564/443, 9186/5590?
Answer: LCM of Numerators as per given numbers 564/443, 9186/5590 is
LCM of Numerators i.e. for 564,9186 is 863484
GCF of denominators i.e. for 443,5590 is 1.
Thus, LCM of Fractions is 863484.Finally, LCM of Fractions for 564/443, 9186/5590 is 863484.