Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 644/935, 485/171, 809/177 quickly i.e. 252683060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 644/935, 485/171, 809/177 is 252683060.
LCM(644/935, 485/171, 809/177) = 252683060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 644/935,485/171,809/177
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 644,485,809
Least Common Multiple of Numerators i.e. LCM of 644,485,809 is 252683060.
GCF of Denominators means GCF of 935,171,177 as per the given fractions.
GCF of 935,171,177 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 644,485,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 252683060
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 644,485,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,485,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(644,485,809) x common factors =1 x 1 = 1
LCM(644,485,809) = ( 644 × 485 × 809 ) / 1
LCM(644,485,809) = 252683060 / 1
LCM(644,485,809) = 252683060
Lets's calculate GCF of 935,171,177
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 252683060/1
Therefore the LCM of Fractions 644/935,485/171,809/177 is 252683060
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 171
List of positive integer factors of 171 that divides 171 without a remainder.
1,3,9,19,57,171
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Greatest Common Factor
We found the factors 935,171,177 . The biggest common factor number is the GCF number.
So the greatest common factor 935,171,177 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 644/935, 485/171, 809/177?
Answer: LCM of Numerators as per given numbers 644/935, 485/171, 809/177 is
LCM of Numerators i.e. for 644,485,809 is 252683060
GCF of denominators i.e. for 935,171,177 is 1.
Thus, LCM of Fractions is 252683060.Finally, LCM of Fractions for 644/935, 485/171, 809/177 is 252683060.