Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 287/578, 777/771 quickly i.e. 31857 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 287/578, 777/771 is 31857.
LCM(287/578, 777/771) = 31857
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 287/578,777/771
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 287,777
Least Common Multiple of Numerators i.e. LCM of 287,777 is 31857.
GCF of Denominators means GCF of 578,771 as per the given fractions.
GCF of 578,771 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 287,777
7 | 287, 777 |
41, 111 |
∴ So the LCM of the given numbers is 7 x 41 x 111 = 31857
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 287,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,777) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(287,777) x common factors =7 x 1 = 7
LCM(287,777) = ( 287 × 777 ) / 7
LCM(287,777) = 222999 / 7
LCM(287,777) = 31857
Lets's calculate GCF of 578,771
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31857/1
Therefore the LCM of Fractions 287/578,777/771 is 31857
Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1,2,17,34,289,578
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 578,771 . The biggest common factor number is the GCF number.
So the greatest common factor 578,771 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 287/578, 777/771?
Answer: LCM of Numerators as per given numbers 287/578, 777/771 is
LCM of Numerators i.e. for 287,777 is 31857
GCF of denominators i.e. for 578,771 is 1.
Thus, LCM of Fractions is 31857.Finally, LCM of Fractions for 287/578, 777/771 is 31857.