Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/72, 723/30, 246/466 quickly i.e. 29643 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/72, 723/30, 246/466 is 29643.
LCM(41/72, 723/30, 246/466) = 29643
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/72,723/30,246/466
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 41,723,246
Least Common Multiple of Numerators i.e. LCM of 41,723,246 is 59286.
GCF of Denominators means GCF of 72,30,466 as per the given fractions.
GCF of 72,30,466 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,723,246
3 | 41, 723, 246 |
41 | 41, 241, 82 |
1, 241, 2 |
∴ So the LCM of the given numbers is 3 x 41 x 1 x 241 x 2 = 59286
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 41,723,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,723,246) = 1
common factors(in case of two or more numbers have common factors) = 123
GCF(41,723,246) x common factors =1 x 123 = 123
LCM(41,723,246) = ( 41 × 723 × 246 ) / 123
LCM(41,723,246) = 7292178 / 123
LCM(41,723,246) = 59286
Lets's calculate GCF of 72,30,466
2 | 72, 30, 466 |
36, 15, 233 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59286/2
Therefore the LCM of Fractions 41/72,723/30,246/466 is 29643
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 466
List of positive integer factors of 466 that divides 466 without a remainder.
1,2,233,466
Greatest Common Factor
We found the factors 72,30,466 . The biggest common factor number is the GCF number.
So the greatest common factor 72,30,466 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 41/72, 723/30, 246/466?
Answer: LCM of Numerators as per given numbers 41/72, 723/30, 246/466 is
LCM of Numerators i.e. for 41,723,246 is 59286
GCF of denominators i.e. for 72,30,466 is 2.
Thus, LCM of Fractions is 29643.Finally, LCM of Fractions for 41/72, 723/30, 246/466 is 29643.