Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 17/54, 56/34, 27/999 quickly i.e. 25704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 17/54, 56/34, 27/999 is 25704.
LCM(17/54, 56/34, 27/999) = 25704
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 17/54,56/34,27/999
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 17,56,27
Least Common Multiple of Numerators i.e. LCM of 17,56,27 is 25704.
GCF of Denominators means GCF of 54,34,999 as per the given fractions.
GCF of 54,34,999 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 17,56,27
Given numbers has no common factors except 1. So, there LCM is their product i.e 25704
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 17,56,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,56,27) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,56,27) x common factors =1 x 1 = 1
LCM(17,56,27) = ( 17 × 56 × 27 ) / 1
LCM(17,56,27) = 25704 / 1
LCM(17,56,27) = 25704
Lets's calculate GCF of 54,34,999
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25704/1
Therefore the LCM of Fractions 17/54,56/34,27/999 is 25704
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Greatest Common Factor
We found the factors 54,34,999 . The biggest common factor number is the GCF number.
So the greatest common factor 54,34,999 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 17/54, 56/34, 27/999?
Answer: LCM of Numerators as per given numbers 17/54, 56/34, 27/999 is
LCM of Numerators i.e. for 17,56,27 is 25704
GCF of denominators i.e. for 54,34,999 is 1.
Thus, LCM of Fractions is 25704.Finally, LCM of Fractions for 17/54, 56/34, 27/999 is 25704.