Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 366/512, 226/721 quickly i.e. 41358 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 366/512, 226/721 is 41358.
LCM(366/512, 226/721) = 41358
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 366/512,226/721
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 366,226
Least Common Multiple of Numerators i.e. LCM of 366,226 is 41358.
GCF of Denominators means GCF of 512,721 as per the given fractions.
GCF of 512,721 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 366,226
2 | 366, 226 |
183, 113 |
∴ So the LCM of the given numbers is 2 x 183 x 113 = 41358
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 366,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,226) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(366,226) x common factors =2 x 1 = 2
LCM(366,226) = ( 366 × 226 ) / 2
LCM(366,226) = 82716 / 2
LCM(366,226) = 41358
Lets's calculate GCF of 512,721
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41358/1
Therefore the LCM of Fractions 366/512,226/721 is 41358
Factors of 512
List of positive integer factors of 512 that divides 512 without a remainder.
1,2,4,8,16,32,64,128,256,512
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Greatest Common Factor
We found the factors 512,721 . The biggest common factor number is the GCF number.
So the greatest common factor 512,721 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 366/512, 226/721?
Answer: LCM of Numerators as per given numbers 366/512, 226/721 is
LCM of Numerators i.e. for 366,226 is 41358
GCF of denominators i.e. for 512,721 is 1.
Thus, LCM of Fractions is 41358.Finally, LCM of Fractions for 366/512, 226/721 is 41358.