Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/259, 7885/2665 quickly i.e. 260205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/259, 7885/2665 is 260205.
LCM(33/259, 7885/2665) = 260205
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/259,7885/2665
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 33,7885
Least Common Multiple of Numerators i.e. LCM of 33,7885 is 260205.
GCF of Denominators means GCF of 259,2665 as per the given fractions.
GCF of 259,2665 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,7885
Given numbers has no common factors except 1. So, there LCM is their product i.e 260205
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 33,7885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,7885) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,7885) x common factors =1 x 1 = 1
LCM(33,7885) = ( 33 × 7885 ) / 1
LCM(33,7885) = 260205 / 1
LCM(33,7885) = 260205
Lets's calculate GCF of 259,2665
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 260205/1
Therefore the LCM of Fractions 33/259,7885/2665 is 260205
Factors of 259
List of positive integer factors of 259 that divides 259 without a remainder.
1,7,37,259
Factors of 2665
List of positive integer factors of 2665 that divides 2665 without a remainder.
1,5,13,41,65,205,533,2665
Greatest Common Factor
We found the factors 259,2665 . The biggest common factor number is the GCF number.
So the greatest common factor 259,2665 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 33/259, 7885/2665?
Answer: LCM of Numerators as per given numbers 33/259, 7885/2665 is
LCM of Numerators i.e. for 33,7885 is 260205
GCF of denominators i.e. for 259,2665 is 1.
Thus, LCM of Fractions is 260205.Finally, LCM of Fractions for 33/259, 7885/2665 is 260205.