Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 17/308, 3549/4029 quickly i.e. 60333 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 17/308, 3549/4029 is 60333.
LCM(17/308, 3549/4029) = 60333
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 17/308,3549/4029
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 17,3549
Least Common Multiple of Numerators i.e. LCM of 17,3549 is 60333.
GCF of Denominators means GCF of 308,4029 as per the given fractions.
GCF of 308,4029 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 17,3549
Given numbers has no common factors except 1. So, there LCM is their product i.e 60333
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 17,3549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,3549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,3549) x common factors =1 x 1 = 1
LCM(17,3549) = ( 17 × 3549 ) / 1
LCM(17,3549) = 60333 / 1
LCM(17,3549) = 60333
Lets's calculate GCF of 308,4029
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60333/1
Therefore the LCM of Fractions 17/308,3549/4029 is 60333
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Factors of 4029
List of positive integer factors of 4029 that divides 4029 without a remainder.
1,3,17,51,79,237,1343,4029
Greatest Common Factor
We found the factors 308,4029 . The biggest common factor number is the GCF number.
So the greatest common factor 308,4029 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 17/308, 3549/4029?
Answer: LCM of Numerators as per given numbers 17/308, 3549/4029 is
LCM of Numerators i.e. for 17,3549 is 60333
GCF of denominators i.e. for 308,4029 is 1.
Thus, LCM of Fractions is 60333.Finally, LCM of Fractions for 17/308, 3549/4029 is 60333.