Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/332, 329/11, 589/756 quickly i.e. 18796757 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/332, 329/11, 589/756 is 18796757.
LCM(97/332, 329/11, 589/756) = 18796757
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/332,329/11,589/756
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 97,329,589
Least Common Multiple of Numerators i.e. LCM of 97,329,589 is 18796757.
GCF of Denominators means GCF of 332,11,756 as per the given fractions.
GCF of 332,11,756 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,329,589
Given numbers has no common factors except 1. So, there LCM is their product i.e 18796757
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 97,329,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,329,589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,329,589) x common factors =1 x 1 = 1
LCM(97,329,589) = ( 97 × 329 × 589 ) / 1
LCM(97,329,589) = 18796757 / 1
LCM(97,329,589) = 18796757
Lets's calculate GCF of 332,11,756
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18796757/1
Therefore the LCM of Fractions 97/332,329/11,589/756 is 18796757
Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1,2,4,83,166,332
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 332,11,756 . The biggest common factor number is the GCF number.
So the greatest common factor 332,11,756 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 97/332, 329/11, 589/756?
Answer: LCM of Numerators as per given numbers 97/332, 329/11, 589/756 is
LCM of Numerators i.e. for 97,329,589 is 18796757
GCF of denominators i.e. for 332,11,756 is 1.
Thus, LCM of Fractions is 18796757.Finally, LCM of Fractions for 97/332, 329/11, 589/756 is 18796757.