Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/915, 16/615 quickly i.e. 64/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/915, 16/615 is 64/15.
LCM(64/915, 16/615) = 64/15
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/915,16/615
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 64,16
Least Common Multiple of Numerators i.e. LCM of 64,16 is 64.
GCF of Denominators means GCF of 915,615 as per the given fractions.
GCF of 915,615 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,16
2 | 64, 16 |
2 | 32, 8 |
2 | 16, 4 |
2 | 8, 2 |
4, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 4 x 1 = 64
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 64,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,16) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(64,16) x common factors =16 x 1 = 16
LCM(64,16) = ( 64 × 16 ) / 16
LCM(64,16) = 1024 / 16
LCM(64,16) = 64
Lets's calculate GCF of 915,615
3 | 915, 615 |
5 | 305, 205 |
61, 41 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64/15
Therefore the LCM of Fractions 64/915,16/615 is 64/15
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Greatest Common Factor
We found the factors 915,615 . The biggest common factor number is the GCF number.
So the greatest common factor 915,615 is 15.
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 64/915, 16/615?
Answer: LCM of Numerators as per given numbers 64/915, 16/615 is
LCM of Numerators i.e. for 64,16 is 64
GCF of denominators i.e. for 915,615 is 15.
Thus, LCM of Fractions is 64/15.Finally, LCM of Fractions for 64/915, 16/615 is 64/15.