Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 935/18, 333/2121 quickly i.e. 103785 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 935/18, 333/2121 is 103785.
LCM(935/18, 333/2121) = 103785
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 935/18,333/2121
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 935,333
Least Common Multiple of Numerators i.e. LCM of 935,333 is 311355.
GCF of Denominators means GCF of 18,2121 as per the given fractions.
GCF of 18,2121 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 935,333
Given numbers has no common factors except 1. So, there LCM is their product i.e 311355
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 935,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(935,333) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(935,333) x common factors =1 x 1 = 1
LCM(935,333) = ( 935 × 333 ) / 1
LCM(935,333) = 311355 / 1
LCM(935,333) = 311355
Lets's calculate GCF of 18,2121
3 | 18, 2121 |
6, 707 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 311355/3
Therefore the LCM of Fractions 935/18,333/2121 is 103785
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 2121
List of positive integer factors of 2121 that divides 2121 without a remainder.
1,3,7,21,101,303,707,2121
Greatest Common Factor
We found the factors 18,2121 . The biggest common factor number is the GCF number.
So the greatest common factor 18,2121 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 935/18, 333/2121?
Answer: LCM of Numerators as per given numbers 935/18, 333/2121 is
LCM of Numerators i.e. for 935,333 is 311355
GCF of denominators i.e. for 18,2121 is 3.
Thus, LCM of Fractions is 103785.Finally, LCM of Fractions for 935/18, 333/2121 is 103785.