Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5510/581, 9832/2826 quickly i.e. 27087160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5510/581, 9832/2826 is 27087160.
LCM(5510/581, 9832/2826) = 27087160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5510/581,9832/2826
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 5510,9832
Least Common Multiple of Numerators i.e. LCM of 5510,9832 is 27087160.
GCF of Denominators means GCF of 581,2826 as per the given fractions.
GCF of 581,2826 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5510,9832
2 | 5510, 9832 |
2755, 4916 |
∴ So the LCM of the given numbers is 2 x 2755 x 4916 = 27087160
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 5510,9832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5510,9832) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(5510,9832) x common factors =2 x 1 = 2
LCM(5510,9832) = ( 5510 × 9832 ) / 2
LCM(5510,9832) = 54174320 / 2
LCM(5510,9832) = 27087160
Lets's calculate GCF of 581,2826
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27087160/1
Therefore the LCM of Fractions 5510/581,9832/2826 is 27087160
Factors of 581
List of positive integer factors of 581 that divides 581 without a remainder.
1,7,83,581
Factors of 2826
List of positive integer factors of 2826 that divides 2826 without a remainder.
1,2,3,6,9,18,157,314,471,942,1413,2826
Greatest Common Factor
We found the factors 581,2826 . The biggest common factor number is the GCF number.
So the greatest common factor 581,2826 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 5510/581, 9832/2826?
Answer: LCM of Numerators as per given numbers 5510/581, 9832/2826 is
LCM of Numerators i.e. for 5510,9832 is 27087160
GCF of denominators i.e. for 581,2826 is 1.
Thus, LCM of Fractions is 27087160.Finally, LCM of Fractions for 5510/581, 9832/2826 is 27087160.