Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/291, 11/316, 993/173 quickly i.e. 174768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/291, 11/316, 993/173 is 174768.
LCM(16/291, 11/316, 993/173) = 174768
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/291,11/316,993/173
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 16,11,993
Least Common Multiple of Numerators i.e. LCM of 16,11,993 is 174768.
GCF of Denominators means GCF of 291,316,173 as per the given fractions.
GCF of 291,316,173 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,11,993
Given numbers has no common factors except 1. So, there LCM is their product i.e 174768
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 16,11,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,11,993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,11,993) x common factors =1 x 1 = 1
LCM(16,11,993) = ( 16 × 11 × 993 ) / 1
LCM(16,11,993) = 174768 / 1
LCM(16,11,993) = 174768
Lets's calculate GCF of 291,316,173
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174768/1
Therefore the LCM of Fractions 16/291,11/316,993/173 is 174768
Factors of 291
List of positive integer factors of 291 that divides 291 without a remainder.
1,3,97,291
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Factors of 173
List of positive integer factors of 173 that divides 173 without a remainder.
1,173
Greatest Common Factor
We found the factors 291,316,173 . The biggest common factor number is the GCF number.
So the greatest common factor 291,316,173 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 16/291, 11/316, 993/173?
Answer: LCM of Numerators as per given numbers 16/291, 11/316, 993/173 is
LCM of Numerators i.e. for 16,11,993 is 174768
GCF of denominators i.e. for 291,316,173 is 1.
Thus, LCM of Fractions is 174768.Finally, LCM of Fractions for 16/291, 11/316, 993/173 is 174768.