Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 665/110, 539/957 quickly i.e. 4655 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 665/110, 539/957 is 4655.
LCM(665/110, 539/957) = 4655
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 665/110,539/957
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 110,957 as per the given fractions.
GCF of 110,957 is 11 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 110,957
11 | 110, 957 |
10, 87 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51205/11
Therefore the LCM of Fractions 665/110,539/957 is 4655
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Greatest Common Factor
We found the factors 110,957 . The biggest common factor number is the GCF number.
So the greatest common factor 110,957 is 11.
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 665/110, 539/957?
Answer: LCM of Numerators as per given numbers 665/110, 539/957 is
LCM of Numerators i.e. for 665,539 is 51205
GCF of denominators i.e. for 110,957 is 11.
Thus, LCM of Fractions is 4655.Finally, LCM of Fractions for 665/110, 539/957 is 4655.