Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/578, 85/405, 451/318 quickly i.e. 613360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/578, 85/405, 451/318 is 613360.
LCM(16/578, 85/405, 451/318) = 613360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/578,85/405,451/318
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 16,85,451
Least Common Multiple of Numerators i.e. LCM of 16,85,451 is 613360.
GCF of Denominators means GCF of 578,405,318 as per the given fractions.
GCF of 578,405,318 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,85,451
Given numbers has no common factors except 1. So, there LCM is their product i.e 613360
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 16,85,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,85,451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,85,451) x common factors =1 x 1 = 1
LCM(16,85,451) = ( 16 × 85 × 451 ) / 1
LCM(16,85,451) = 613360 / 1
LCM(16,85,451) = 613360
Lets's calculate GCF of 578,405,318
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 613360/1
Therefore the LCM of Fractions 16/578,85/405,451/318 is 613360
Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1,2,17,34,289,578
Factors of 405
List of positive integer factors of 405 that divides 405 without a remainder.
1,3,5,9,15,27,45,81,135,405
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 578,405,318 . The biggest common factor number is the GCF number.
So the greatest common factor 578,405,318 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 16/578, 85/405, 451/318?
Answer: LCM of Numerators as per given numbers 16/578, 85/405, 451/318 is
LCM of Numerators i.e. for 16,85,451 is 613360
GCF of denominators i.e. for 578,405,318 is 1.
Thus, LCM of Fractions is 613360.Finally, LCM of Fractions for 16/578, 85/405, 451/318 is 613360.