Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/893, 69/739, 233/435 quickly i.e. 96462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/893, 69/739, 233/435 is 96462.
LCM(18/893, 69/739, 233/435) = 96462
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/893,69/739,233/435
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 18,69,233
Least Common Multiple of Numerators i.e. LCM of 18,69,233 is 96462.
GCF of Denominators means GCF of 893,739,435 as per the given fractions.
GCF of 893,739,435 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,69,233
3 | 18, 69, 233 |
6, 23, 233 |
∴ So the LCM of the given numbers is 3 x 6 x 23 x 233 = 96462
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 18,69,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,69,233) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(18,69,233) x common factors =1 x 3 = 3
LCM(18,69,233) = ( 18 × 69 × 233 ) / 3
LCM(18,69,233) = 289386 / 3
LCM(18,69,233) = 96462
Lets's calculate GCF of 893,739,435
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96462/1
Therefore the LCM of Fractions 18/893,69/739,233/435 is 96462
Factors of 893
List of positive integer factors of 893 that divides 893 without a remainder.
1,19,47,893
Factors of 739
List of positive integer factors of 739 that divides 739 without a remainder.
1,739
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Greatest Common Factor
We found the factors 893,739,435 . The biggest common factor number is the GCF number.
So the greatest common factor 893,739,435 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 18/893, 69/739, 233/435?
Answer: LCM of Numerators as per given numbers 18/893, 69/739, 233/435 is
LCM of Numerators i.e. for 18,69,233 is 96462
GCF of denominators i.e. for 893,739,435 is 1.
Thus, LCM of Fractions is 96462.Finally, LCM of Fractions for 18/893, 69/739, 233/435 is 96462.