Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/615, 16/189, 45/793 quickly i.e. 720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/615, 16/189, 45/793 is 720.
LCM(5/615, 16/189, 45/793) = 720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/615,16/189,45/793
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 5,16,45
Least Common Multiple of Numerators i.e. LCM of 5,16,45 is 720.
GCF of Denominators means GCF of 615,189,793 as per the given fractions.
GCF of 615,189,793 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,16,45
5 | 5, 16, 45 |
1, 16, 9 |
∴ So the LCM of the given numbers is 5 x 1 x 16 x 9 = 720
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 5,16,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,16,45) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(5,16,45) x common factors =1 x 5 = 5
LCM(5,16,45) = ( 5 × 16 × 45 ) / 5
LCM(5,16,45) = 3600 / 5
LCM(5,16,45) = 720
Lets's calculate GCF of 615,189,793
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 720/1
Therefore the LCM of Fractions 5/615,16/189,45/793 is 720
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Factors of 189
List of positive integer factors of 189 that divides 189 without a remainder.
1,3,7,9,21,27,63,189
Factors of 793
List of positive integer factors of 793 that divides 793 without a remainder.
1,13,61,793
Greatest Common Factor
We found the factors 615,189,793 . The biggest common factor number is the GCF number.
So the greatest common factor 615,189,793 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 5/615, 16/189, 45/793?
Answer: LCM of Numerators as per given numbers 5/615, 16/189, 45/793 is
LCM of Numerators i.e. for 5,16,45 is 720
GCF of denominators i.e. for 615,189,793 is 1.
Thus, LCM of Fractions is 720.Finally, LCM of Fractions for 5/615, 16/189, 45/793 is 720.