Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/999, 235/644, 927/704 quickly i.e. 17209755 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/999, 235/644, 927/704 is 17209755.
LCM(79/999, 235/644, 927/704) = 17209755
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/999,235/644,927/704
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 79,235,927
Least Common Multiple of Numerators i.e. LCM of 79,235,927 is 17209755.
GCF of Denominators means GCF of 999,644,704 as per the given fractions.
GCF of 999,644,704 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,235,927
Given numbers has no common factors except 1. So, there LCM is their product i.e 17209755
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 79,235,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,235,927) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,235,927) x common factors =1 x 1 = 1
LCM(79,235,927) = ( 79 × 235 × 927 ) / 1
LCM(79,235,927) = 17209755 / 1
LCM(79,235,927) = 17209755
Lets's calculate GCF of 999,644,704
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17209755/1
Therefore the LCM of Fractions 79/999,235/644,927/704 is 17209755
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
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 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Greatest Common Factor
We found the factors 999,644,704 . The biggest common factor number is the GCF number.
So the greatest common factor 999,644,704 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 79/999, 235/644, 927/704?
Answer: LCM of Numerators as per given numbers 79/999, 235/644, 927/704 is
LCM of Numerators i.e. for 79,235,927 is 17209755
GCF of denominators i.e. for 999,644,704 is 1.
Thus, LCM of Fractions is 17209755.Finally, LCM of Fractions for 79/999, 235/644, 927/704 is 17209755.