Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 277/644, 469/819 quickly i.e. 18559 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 277/644, 469/819 is 18559.
LCM(277/644, 469/819) = 18559
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 277/644,469/819
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 277,469
Least Common Multiple of Numerators i.e. LCM of 277,469 is 129913.
GCF of Denominators means GCF of 644,819 as per the given fractions.
GCF of 644,819 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 277,469
Given numbers has no common factors except 1. So, there LCM is their product i.e 129913
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 277,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,469) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,469) x common factors =1 x 1 = 1
LCM(277,469) = ( 277 × 469 ) / 1
LCM(277,469) = 129913 / 1
LCM(277,469) = 129913
Lets's calculate GCF of 644,819
7 | 644, 819 |
92, 117 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129913/7
Therefore the LCM of Fractions 277/644,469/819 is 18559
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 819
List of positive integer factors of 819 that divides 819 without a remainder.
1,3,7,9,13,21,39,63,91,117,273,819
Greatest Common Factor
We found the factors 644,819 . The biggest common factor number is the GCF number.
So the greatest common factor 644,819 is 7.
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 277/644, 469/819?
Answer: LCM of Numerators as per given numbers 277/644, 469/819 is
LCM of Numerators i.e. for 277,469 is 129913
GCF of denominators i.e. for 644,819 is 7.
Thus, LCM of Fractions is 18559.Finally, LCM of Fractions for 277/644, 469/819 is 18559.