Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/303, 3256/9294 quickly i.e. 192104/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/303, 3256/9294 is 192104/3.
LCM(59/303, 3256/9294) = 192104/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/303,3256/9294
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 59,3256
Least Common Multiple of Numerators i.e. LCM of 59,3256 is 192104.
GCF of Denominators means GCF of 303,9294 as per the given fractions.
GCF of 303,9294 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,3256
Given numbers has no common factors except 1. So, there LCM is their product i.e 192104
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 59,3256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,3256) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,3256) x common factors =1 x 1 = 1
LCM(59,3256) = ( 59 × 3256 ) / 1
LCM(59,3256) = 192104 / 1
LCM(59,3256) = 192104
Lets's calculate GCF of 303,9294
3 | 303, 9294 |
101, 3098 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 192104/3
Therefore the LCM of Fractions 59/303,3256/9294 is 192104/3
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Factors of 9294
List of positive integer factors of 9294 that divides 9294 without a remainder.
1,2,3,6,1549,3098,4647,9294
Greatest Common Factor
We found the factors 303,9294 . The biggest common factor number is the GCF number.
So the greatest common factor 303,9294 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 59/303, 3256/9294?
Answer: LCM of Numerators as per given numbers 59/303, 3256/9294 is
LCM of Numerators i.e. for 59,3256 is 192104
GCF of denominators i.e. for 303,9294 is 3.
Thus, LCM of Fractions is 192104/3.Finally, LCM of Fractions for 59/303, 3256/9294 is 192104/3.