Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 566/64, 124/32, 231/886 quickly i.e. 4053126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 566/64, 124/32, 231/886 is 4053126.
LCM(566/64, 124/32, 231/886) = 4053126
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 566/64,124/32,231/886
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 566,124,231
Least Common Multiple of Numerators i.e. LCM of 566,124,231 is 8106252.
GCF of Denominators means GCF of 64,32,886 as per the given fractions.
GCF of 64,32,886 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 566,124,231
2 | 566, 124, 231 |
283, 62, 231 |
∴ So the LCM of the given numbers is 2 x 283 x 62 x 231 = 8106252
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 566,124,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,124,231) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(566,124,231) x common factors =1 x 2 = 2
LCM(566,124,231) = ( 566 × 124 × 231 ) / 2
LCM(566,124,231) = 16212504 / 2
LCM(566,124,231) = 8106252
Lets's calculate GCF of 64,32,886
2 | 64, 32, 886 |
32, 16, 443 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8106252/2
Therefore the LCM of Fractions 566/64,124/32,231/886 is 4053126
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Greatest Common Factor
We found the factors 64,32,886 . The biggest common factor number is the GCF number.
So the greatest common factor 64,32,886 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 566/64, 124/32, 231/886?
Answer: LCM of Numerators as per given numbers 566/64, 124/32, 231/886 is
LCM of Numerators i.e. for 566,124,231 is 8106252
GCF of denominators i.e. for 64,32,886 is 2.
Thus, LCM of Fractions is 4053126.Finally, LCM of Fractions for 566/64, 124/32, 231/886 is 4053126.