Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 427/13, 566/8511 quickly i.e. 241682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 427/13, 566/8511 is 241682.
LCM(427/13, 566/8511) = 241682
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 427/13,566/8511
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 427,566
Least Common Multiple of Numerators i.e. LCM of 427,566 is 241682.
GCF of Denominators means GCF of 13,8511 as per the given fractions.
GCF of 13,8511 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 427,566
Given numbers has no common factors except 1. So, there LCM is their product i.e 241682
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 427,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,566) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,566) x common factors =1 x 1 = 1
LCM(427,566) = ( 427 × 566 ) / 1
LCM(427,566) = 241682 / 1
LCM(427,566) = 241682
Lets's calculate GCF of 13,8511
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 241682/1
Therefore the LCM of Fractions 427/13,566/8511 is 241682
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 8511
List of positive integer factors of 8511 that divides 8511 without a remainder.
1,3,2837,8511
Greatest Common Factor
We found the factors 13,8511 . The biggest common factor number is the GCF number.
So the greatest common factor 13,8511 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 427/13, 566/8511?
Answer: LCM of Numerators as per given numbers 427/13, 566/8511 is
LCM of Numerators i.e. for 427,566 is 241682
GCF of denominators i.e. for 13,8511 is 1.
Thus, LCM of Fractions is 241682.Finally, LCM of Fractions for 427/13, 566/8511 is 241682.