Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/307, 33/784 quickly i.e. 165 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/307, 33/784 is 165.
LCM(15/307, 33/784) = 165
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/307,33/784
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 15,33
Least Common Multiple of Numerators i.e. LCM of 15,33 is 165.
GCF of Denominators means GCF of 307,784 as per the given fractions.
GCF of 307,784 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,33
3 | 15, 33 |
5, 11 |
∴ So the LCM of the given numbers is 3 x 5 x 11 = 165
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 15,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,33) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(15,33) x common factors =3 x 1 = 3
LCM(15,33) = ( 15 × 33 ) / 3
LCM(15,33) = 495 / 3
LCM(15,33) = 165
Lets's calculate GCF of 307,784
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165/1
Therefore the LCM of Fractions 15/307,33/784 is 165
Factors of 307
List of positive integer factors of 307 that divides 307 without a remainder.
1,307
Factors of 784
List of positive integer factors of 784 that divides 784 without a remainder.
1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Greatest Common Factor
We found the factors 307,784 . The biggest common factor number is the GCF number.
So the greatest common factor 307,784 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 15/307, 33/784?
Answer: LCM of Numerators as per given numbers 15/307, 33/784 is
LCM of Numerators i.e. for 15,33 is 165
GCF of denominators i.e. for 307,784 is 1.
Thus, LCM of Fractions is 165.Finally, LCM of Fractions for 15/307, 33/784 is 165.