Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/85, 47/96, 83/28, 19/720 quickly i.e. 1185904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/85, 47/96, 83/28, 19/720 is 1185904.
LCM(16/85, 47/96, 83/28, 19/720) = 1185904
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/85,47/96,83/28,19/720
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 16,47,83,19
Least Common Multiple of Numerators i.e. LCM of 16,47,83,19 is 1185904.
GCF of Denominators means GCF of 85,96,28,720 as per the given fractions.
GCF of 85,96,28,720 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,47,83,19
Given numbers has no common factors except 1. So, there LCM is their product i.e 1185904
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 16,47,83,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,47,83,19) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,47,83,19) x common factors =1 x 1 = 1
LCM(16,47,83,19) = ( 16 × 47 × 83 × 19 ) / 1
LCM(16,47,83,19) = 1185904 / 1
LCM(16,47,83,19) = 1185904
Lets's calculate GCF of 85,96,28,720
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1185904/1
Therefore the LCM of Fractions 16/85,47/96,83/28,19/720 is 1185904
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Greatest Common Factor
We found the factors 85,96,28,720 . The biggest common factor number is the GCF number.
So the greatest common factor 85,96,28,720 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 16/85, 47/96, 83/28, 19/720?
Answer: LCM of Numerators as per given numbers 16/85, 47/96, 83/28, 19/720 is
LCM of Numerators i.e. for 16,47,83,19 is 1185904
GCF of denominators i.e. for 85,96,28,720 is 1.
Thus, LCM of Fractions is 1185904.Finally, LCM of Fractions for 16/85, 47/96, 83/28, 19/720 is 1185904.