Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 329/80, 121/9098 quickly i.e. 39809/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 329/80, 121/9098 is 39809/2.
LCM(329/80, 121/9098) = 39809/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 329/80,121/9098
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 329,121
Least Common Multiple of Numerators i.e. LCM of 329,121 is 39809.
GCF of Denominators means GCF of 80,9098 as per the given fractions.
GCF of 80,9098 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 329,121
Given numbers has no common factors except 1. So, there LCM is their product i.e 39809
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 329,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(329,121) x common factors =1 x 1 = 1
LCM(329,121) = ( 329 × 121 ) / 1
LCM(329,121) = 39809 / 1
LCM(329,121) = 39809
Lets's calculate GCF of 80,9098
2 | 80, 9098 |
40, 4549 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39809/2
Therefore the LCM of Fractions 329/80,121/9098 is 39809/2
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 9098
List of positive integer factors of 9098 that divides 9098 without a remainder.
1,2,4549,9098
Greatest Common Factor
We found the factors 80,9098 . The biggest common factor number is the GCF number.
So the greatest common factor 80,9098 is 2.
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 329/80, 121/9098?
Answer: LCM of Numerators as per given numbers 329/80, 121/9098 is
LCM of Numerators i.e. for 329,121 is 39809
GCF of denominators i.e. for 80,9098 is 2.
Thus, LCM of Fractions is 39809/2.Finally, LCM of Fractions for 329/80, 121/9098 is 39809/2.