Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 205/577, 957/771 quickly i.e. 196185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 205/577, 957/771 is 196185.
LCM(205/577, 957/771) = 196185
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 205/577,957/771
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 205,957
Least Common Multiple of Numerators i.e. LCM of 205,957 is 196185.
GCF of Denominators means GCF of 577,771 as per the given fractions.
GCF of 577,771 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 205,957
Given numbers has no common factors except 1. So, there LCM is their product i.e 196185
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 205,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(205,957) x common factors =1 x 1 = 1
LCM(205,957) = ( 205 × 957 ) / 1
LCM(205,957) = 196185 / 1
LCM(205,957) = 196185
Lets's calculate GCF of 577,771
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196185/1
Therefore the LCM of Fractions 205/577,957/771 is 196185
Factors of 577
List of positive integer factors of 577 that divides 577 without a remainder.
1,577
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Greatest Common Factor
We found the factors 577,771 . The biggest common factor number is the GCF number.
So the greatest common factor 577,771 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 205/577, 957/771?
Answer: LCM of Numerators as per given numbers 205/577, 957/771 is
LCM of Numerators i.e. for 205,957 is 196185
GCF of denominators i.e. for 577,771 is 1.
Thus, LCM of Fractions is 196185.Finally, LCM of Fractions for 205/577, 957/771 is 196185.