Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 564/71, 331/3256 quickly i.e. 186684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 564/71, 331/3256 is 186684.
LCM(564/71, 331/3256) = 186684
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 564/71,331/3256
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 564,331
Least Common Multiple of Numerators i.e. LCM of 564,331 is 186684.
GCF of Denominators means GCF of 71,3256 as per the given fractions.
GCF of 71,3256 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 564,331
Given numbers has no common factors except 1. So, there LCM is their product i.e 186684
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 564,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,331) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(564,331) x common factors =1 x 1 = 1
LCM(564,331) = ( 564 × 331 ) / 1
LCM(564,331) = 186684 / 1
LCM(564,331) = 186684
Lets's calculate GCF of 71,3256
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 186684/1
Therefore the LCM of Fractions 564/71,331/3256 is 186684
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 3256
List of positive integer factors of 3256 that divides 3256 without a remainder.
1,2,4,8,11,22,37,44,74,88,148,296,407,814,1628,3256
Greatest Common Factor
We found the factors 71,3256 . The biggest common factor number is the GCF number.
So the greatest common factor 71,3256 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 564/71, 331/3256?
Answer: LCM of Numerators as per given numbers 564/71, 331/3256 is
LCM of Numerators i.e. for 564,331 is 186684
GCF of denominators i.e. for 71,3256 is 1.
Thus, LCM of Fractions is 186684.Finally, LCM of Fractions for 564/71, 331/3256 is 186684.