Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 665/26, 539/3309 quickly i.e. 51205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 665/26, 539/3309 is 51205.
LCM(665/26, 539/3309) = 51205
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 665/26,539/3309
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 665,539
Least Common Multiple of Numerators i.e. LCM of 665,539 is 51205.
GCF of Denominators means GCF of 26,3309 as per the given fractions.
GCF of 26,3309 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 665,539
7 | 665, 539 |
95, 77 |
∴ So the LCM of the given numbers is 7 x 95 x 77 = 51205
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 665,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,539) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(665,539) x common factors =7 x 1 = 7
LCM(665,539) = ( 665 × 539 ) / 7
LCM(665,539) = 358435 / 7
LCM(665,539) = 51205
Lets's calculate GCF of 26,3309
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51205/1
Therefore the LCM of Fractions 665/26,539/3309 is 51205
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 3309
List of positive integer factors of 3309 that divides 3309 without a remainder.
1,3,1103,3309
Greatest Common Factor
We found the factors 26,3309 . The biggest common factor number is the GCF number.
So the greatest common factor 26,3309 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 665/26, 539/3309?
Answer: LCM of Numerators as per given numbers 665/26, 539/3309 is
LCM of Numerators i.e. for 665,539 is 51205
GCF of denominators i.e. for 26,3309 is 1.
Thus, LCM of Fractions is 51205.Finally, LCM of Fractions for 665/26, 539/3309 is 51205.