Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 230/79, 333/1466 quickly i.e. 76590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 230/79, 333/1466 is 76590.
LCM(230/79, 333/1466) = 76590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 230/79,333/1466
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 230,333
Least Common Multiple of Numerators i.e. LCM of 230,333 is 76590.
GCF of Denominators means GCF of 79,1466 as per the given fractions.
GCF of 79,1466 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 230,333
Given numbers has no common factors except 1. So, there LCM is their product i.e 76590
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 230,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,333) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(230,333) x common factors =1 x 1 = 1
LCM(230,333) = ( 230 × 333 ) / 1
LCM(230,333) = 76590 / 1
LCM(230,333) = 76590
Lets's calculate GCF of 79,1466
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76590/1
Therefore the LCM of Fractions 230/79,333/1466 is 76590
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 1466
List of positive integer factors of 1466 that divides 1466 without a remainder.
1,2,733,1466
Greatest Common Factor
We found the factors 79,1466 . The biggest common factor number is the GCF number.
So the greatest common factor 79,1466 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 230/79, 333/1466?
Answer: LCM of Numerators as per given numbers 230/79, 333/1466 is
LCM of Numerators i.e. for 230,333 is 76590
GCF of denominators i.e. for 79,1466 is 1.
Thus, LCM of Fractions is 76590.Finally, LCM of Fractions for 230/79, 333/1466 is 76590.