Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/20, 64/64, 813/524 quickly i.e. 481296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/20, 64/64, 813/524 is 481296.
LCM(74/20, 64/64, 813/524) = 481296
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/20,64/64,813/524
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 74,64,813
Least Common Multiple of Numerators i.e. LCM of 74,64,813 is 1925184.
GCF of Denominators means GCF of 20,64,524 as per the given fractions.
GCF of 20,64,524 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,64,813
2 | 74, 64, 813 |
37, 32, 813 |
∴ So the LCM of the given numbers is 2 x 37 x 32 x 813 = 1925184
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 74,64,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,64,813) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(74,64,813) x common factors =1 x 2 = 2
LCM(74,64,813) = ( 74 × 64 × 813 ) / 2
LCM(74,64,813) = 3850368 / 2
LCM(74,64,813) = 1925184
Lets's calculate GCF of 20,64,524
2 | 20, 64, 524 |
2 | 10, 32, 262 |
5, 16, 131 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1925184/4
Therefore the LCM of Fractions 74/20,64/64,813/524 is 481296
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
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 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Greatest Common Factor
We found the factors 20,64,524 . The biggest common factor number is the GCF number.
So the greatest common factor 20,64,524 is 4.
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 74/20, 64/64, 813/524?
Answer: LCM of Numerators as per given numbers 74/20, 64/64, 813/524 is
LCM of Numerators i.e. for 74,64,813 is 1925184
GCF of denominators i.e. for 20,64,524 is 4.
Thus, LCM of Fractions is 481296.Finally, LCM of Fractions for 74/20, 64/64, 813/524 is 481296.