Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/27, 31/15, 23/537 quickly i.e. 11408/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/27, 31/15, 23/537 is 11408/3.
LCM(16/27, 31/15, 23/537) = 11408/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/27,31/15,23/537
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 16,31,23
Least Common Multiple of Numerators i.e. LCM of 16,31,23 is 11408.
GCF of Denominators means GCF of 27,15,537 as per the given fractions.
GCF of 27,15,537 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,31,23
Given numbers has no common factors except 1. So, there LCM is their product i.e 11408
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 16,31,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,31,23) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,31,23) x common factors =1 x 1 = 1
LCM(16,31,23) = ( 16 × 31 × 23 ) / 1
LCM(16,31,23) = 11408 / 1
LCM(16,31,23) = 11408
Lets's calculate GCF of 27,15,537
3 | 27, 15, 537 |
9, 5, 179 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11408/3
Therefore the LCM of Fractions 16/27,31/15,23/537 is 11408/3
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Greatest Common Factor
We found the factors 27,15,537 . The biggest common factor number is the GCF number.
So the greatest common factor 27,15,537 is 3.
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 16/27, 31/15, 23/537?
Answer: LCM of Numerators as per given numbers 16/27, 31/15, 23/537 is
LCM of Numerators i.e. for 16,31,23 is 11408
GCF of denominators i.e. for 27,15,537 is 3.
Thus, LCM of Fractions is 11408/3.Finally, LCM of Fractions for 16/27, 31/15, 23/537 is 11408/3.