Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/644, 46/505, 873/755 quickly i.e. 1244898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/644, 46/505, 873/755 is 1244898.
LCM(31/644, 46/505, 873/755) = 1244898
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/644,46/505,873/755
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 31,46,873
Least Common Multiple of Numerators i.e. LCM of 31,46,873 is 1244898.
GCF of Denominators means GCF of 644,505,755 as per the given fractions.
GCF of 644,505,755 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,46,873
Given numbers has no common factors except 1. So, there LCM is their product i.e 1244898
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 31,46,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,46,873) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,46,873) x common factors =1 x 1 = 1
LCM(31,46,873) = ( 31 × 46 × 873 ) / 1
LCM(31,46,873) = 1244898 / 1
LCM(31,46,873) = 1244898
Lets's calculate GCF of 644,505,755
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1244898/1
Therefore the LCM of Fractions 31/644,46/505,873/755 is 1244898
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
Factors of 755
List of positive integer factors of 755 that divides 755 without a remainder.
1,5,151,755
Greatest Common Factor
We found the factors 644,505,755 . The biggest common factor number is the GCF number.
So the greatest common factor 644,505,755 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 31/644, 46/505, 873/755?
Answer: LCM of Numerators as per given numbers 31/644, 46/505, 873/755 is
LCM of Numerators i.e. for 31,46,873 is 1244898
GCF of denominators i.e. for 644,505,755 is 1.
Thus, LCM of Fractions is 1244898.Finally, LCM of Fractions for 31/644, 46/505, 873/755 is 1244898.