Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3539/568, 7304/5290 quickly i.e. 12924428 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3539/568, 7304/5290 is 12924428.
LCM(3539/568, 7304/5290) = 12924428
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3539/568,7304/5290
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 3539,7304
Least Common Multiple of Numerators i.e. LCM of 3539,7304 is 25848856.
GCF of Denominators means GCF of 568,5290 as per the given fractions.
GCF of 568,5290 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3539,7304
Given numbers has no common factors except 1. So, there LCM is their product i.e 25848856
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 3539,7304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3539,7304) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3539,7304) x common factors =1 x 1 = 1
LCM(3539,7304) = ( 3539 × 7304 ) / 1
LCM(3539,7304) = 25848856 / 1
LCM(3539,7304) = 25848856
Lets's calculate GCF of 568,5290
2 | 568, 5290 |
284, 2645 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25848856/2
Therefore the LCM of Fractions 3539/568,7304/5290 is 12924428
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Factors of 5290
List of positive integer factors of 5290 that divides 5290 without a remainder.
1,2,5,10,23,46,115,230,529,1058,2645,5290
Greatest Common Factor
We found the factors 568,5290 . The biggest common factor number is the GCF number.
So the greatest common factor 568,5290 is 2.
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 3539/568, 7304/5290?
Answer: LCM of Numerators as per given numbers 3539/568, 7304/5290 is
LCM of Numerators i.e. for 3539,7304 is 25848856
GCF of denominators i.e. for 568,5290 is 2.
Thus, LCM of Fractions is 12924428.Finally, LCM of Fractions for 3539/568, 7304/5290 is 12924428.