Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 333/37, 205/2879 quickly i.e. 68265 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 333/37, 205/2879 is 68265.
LCM(333/37, 205/2879) = 68265
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 333/37,205/2879
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 333,205
Least Common Multiple of Numerators i.e. LCM of 333,205 is 68265.
GCF of Denominators means GCF of 37,2879 as per the given fractions.
GCF of 37,2879 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 333,205
Given numbers has no common factors except 1. So, there LCM is their product i.e 68265
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 333,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(333,205) x common factors =1 x 1 = 1
LCM(333,205) = ( 333 × 205 ) / 1
LCM(333,205) = 68265 / 1
LCM(333,205) = 68265
Lets's calculate GCF of 37,2879
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68265/1
Therefore the LCM of Fractions 333/37,205/2879 is 68265
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 2879
List of positive integer factors of 2879 that divides 2879 without a remainder.
1,2879
Greatest Common Factor
We found the factors 37,2879 . The biggest common factor number is the GCF number.
So the greatest common factor 37,2879 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 333/37, 205/2879?
Answer: LCM of Numerators as per given numbers 333/37, 205/2879 is
LCM of Numerators i.e. for 333,205 is 68265
GCF of denominators i.e. for 37,2879 is 1.
Thus, LCM of Fractions is 68265.Finally, LCM of Fractions for 333/37, 205/2879 is 68265.