Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/53, 18/16, 464/468 quickly i.e. 304848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/53, 18/16, 464/468 is 304848.
LCM(73/53, 18/16, 464/468) = 304848
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/53,18/16,464/468
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 73,18,464
Least Common Multiple of Numerators i.e. LCM of 73,18,464 is 304848.
GCF of Denominators means GCF of 53,16,468 as per the given fractions.
GCF of 53,16,468 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,18,464
2 | 73, 18, 464 |
73, 9, 232 |
∴ So the LCM of the given numbers is 2 x 73 x 9 x 232 = 304848
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 73,18,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,18,464) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(73,18,464) x common factors =1 x 2 = 2
LCM(73,18,464) = ( 73 × 18 × 464 ) / 2
LCM(73,18,464) = 609696 / 2
LCM(73,18,464) = 304848
Lets's calculate GCF of 53,16,468
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 304848/1
Therefore the LCM of Fractions 73/53,18/16,464/468 is 304848
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Greatest Common Factor
We found the factors 53,16,468 . The biggest common factor number is the GCF number.
So the greatest common factor 53,16,468 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 73/53, 18/16, 464/468?
Answer: LCM of Numerators as per given numbers 73/53, 18/16, 464/468 is
LCM of Numerators i.e. for 73,18,464 is 304848
GCF of denominators i.e. for 53,16,468 is 1.
Thus, LCM of Fractions is 304848.Finally, LCM of Fractions for 73/53, 18/16, 464/468 is 304848.