Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 889/515, 8817/927 quickly i.e. 7838313/103 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 889/515, 8817/927 is 7838313/103.
LCM(889/515, 8817/927) = 7838313/103
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 889/515,8817/927
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 889,8817
Least Common Multiple of Numerators i.e. LCM of 889,8817 is 7838313.
GCF of Denominators means GCF of 515,927 as per the given fractions.
GCF of 515,927 is 103 as it is the largest common factor for these numbers.
Lets's calculate LCM of 889,8817
Given numbers has no common factors except 1. So, there LCM is their product i.e 7838313
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 889,8817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,8817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,8817) x common factors =1 x 1 = 1
LCM(889,8817) = ( 889 × 8817 ) / 1
LCM(889,8817) = 7838313 / 1
LCM(889,8817) = 7838313
Lets's calculate GCF of 515,927
103 | 515, 927 |
5, 9 |
∴ So the GCF of the given numbers is 103 = 103
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7838313/103
Therefore the LCM of Fractions 889/515,8817/927 is 7838313/103
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Factors of 927
List of positive integer factors of 927 that divides 927 without a remainder.
1,3,9,103,309,927
Greatest Common Factor
We found the factors 515,927 . The biggest common factor number is the GCF number.
So the greatest common factor 515,927 is 103.
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 889/515, 8817/927?
Answer: LCM of Numerators as per given numbers 889/515, 8817/927 is
LCM of Numerators i.e. for 889,8817 is 7838313
GCF of denominators i.e. for 515,927 is 103.
Thus, LCM of Fractions is 7838313/103.Finally, LCM of Fractions for 889/515, 8817/927 is 7838313/103.