Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 17/134, 7728/3363 quickly i.e. 131376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 17/134, 7728/3363 is 131376.
LCM(17/134, 7728/3363) = 131376
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 17/134,7728/3363
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 17,7728
Least Common Multiple of Numerators i.e. LCM of 17,7728 is 131376.
GCF of Denominators means GCF of 134,3363 as per the given fractions.
GCF of 134,3363 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 17,7728
Given numbers has no common factors except 1. So, there LCM is their product i.e 131376
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 17,7728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,7728) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,7728) x common factors =1 x 1 = 1
LCM(17,7728) = ( 17 × 7728 ) / 1
LCM(17,7728) = 131376 / 1
LCM(17,7728) = 131376
Lets's calculate GCF of 134,3363
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131376/1
Therefore the LCM of Fractions 17/134,7728/3363 is 131376
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Factors of 3363
List of positive integer factors of 3363 that divides 3363 without a remainder.
1,3,19,57,59,177,1121,3363
Greatest Common Factor
We found the factors 134,3363 . The biggest common factor number is the GCF number.
So the greatest common factor 134,3363 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 17/134, 7728/3363?
Answer: LCM of Numerators as per given numbers 17/134, 7728/3363 is
LCM of Numerators i.e. for 17,7728 is 131376
GCF of denominators i.e. for 134,3363 is 1.
Thus, LCM of Fractions is 131376.Finally, LCM of Fractions for 17/134, 7728/3363 is 131376.