Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8809/121, 4561/6988 quickly i.e. 40177849 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8809/121, 4561/6988 is 40177849.
LCM(8809/121, 4561/6988) = 40177849
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8809/121,4561/6988
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 8809,4561
Least Common Multiple of Numerators i.e. LCM of 8809,4561 is 40177849.
GCF of Denominators means GCF of 121,6988 as per the given fractions.
GCF of 121,6988 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8809,4561
Given numbers has no common factors except 1. So, there LCM is their product i.e 40177849
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 8809,4561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8809,4561) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8809,4561) x common factors =1 x 1 = 1
LCM(8809,4561) = ( 8809 × 4561 ) / 1
LCM(8809,4561) = 40177849 / 1
LCM(8809,4561) = 40177849
Lets's calculate GCF of 121,6988
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40177849/1
Therefore the LCM of Fractions 8809/121,4561/6988 is 40177849
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Factors of 6988
List of positive integer factors of 6988 that divides 6988 without a remainder.
1,2,4,1747,3494,6988
Greatest Common Factor
We found the factors 121,6988 . The biggest common factor number is the GCF number.
So the greatest common factor 121,6988 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 8809/121, 4561/6988?
Answer: LCM of Numerators as per given numbers 8809/121, 4561/6988 is
LCM of Numerators i.e. for 8809,4561 is 40177849
GCF of denominators i.e. for 121,6988 is 1.
Thus, LCM of Fractions is 40177849.Finally, LCM of Fractions for 8809/121, 4561/6988 is 40177849.