Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8809/555, 2701/1183 quickly i.e. 23793109 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8809/555, 2701/1183 is 23793109.
LCM(8809/555, 2701/1183) = 23793109
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8809/555,2701/1183
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 8809,2701
Least Common Multiple of Numerators i.e. LCM of 8809,2701 is 23793109.
GCF of Denominators means GCF of 555,1183 as per the given fractions.
GCF of 555,1183 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8809,2701
Given numbers has no common factors except 1. So, there LCM is their product i.e 23793109
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 8809,2701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8809,2701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8809,2701) x common factors =1 x 1 = 1
LCM(8809,2701) = ( 8809 × 2701 ) / 1
LCM(8809,2701) = 23793109 / 1
LCM(8809,2701) = 23793109
Lets's calculate GCF of 555,1183
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23793109/1
Therefore the LCM of Fractions 8809/555,2701/1183 is 23793109
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Factors of 1183
List of positive integer factors of 1183 that divides 1183 without a remainder.
1,7,13,91,169,1183
Greatest Common Factor
We found the factors 555,1183 . The biggest common factor number is the GCF number.
So the greatest common factor 555,1183 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 8809/555, 2701/1183?
Answer: LCM of Numerators as per given numbers 8809/555, 2701/1183 is
LCM of Numerators i.e. for 8809,2701 is 23793109
GCF of denominators i.e. for 555,1183 is 1.
Thus, LCM of Fractions is 23793109.Finally, LCM of Fractions for 8809/555, 2701/1183 is 23793109.