Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9996/229, 8441/8757 quickly i.e. 84376236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9996/229, 8441/8757 is 84376236.
LCM(9996/229, 8441/8757) = 84376236
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9996/229,8441/8757
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 9996,8441
Least Common Multiple of Numerators i.e. LCM of 9996,8441 is 84376236.
GCF of Denominators means GCF of 229,8757 as per the given fractions.
GCF of 229,8757 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9996,8441
Given numbers has no common factors except 1. So, there LCM is their product i.e 84376236
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 9996,8441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9996,8441) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9996,8441) x common factors =1 x 1 = 1
LCM(9996,8441) = ( 9996 × 8441 ) / 1
LCM(9996,8441) = 84376236 / 1
LCM(9996,8441) = 84376236
Lets's calculate GCF of 229,8757
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84376236/1
Therefore the LCM of Fractions 9996/229,8441/8757 is 84376236
Factors of 229
List of positive integer factors of 229 that divides 229 without a remainder.
1,229
Factors of 8757
List of positive integer factors of 8757 that divides 8757 without a remainder.
1,3,7,9,21,63,139,417,973,1251,2919,8757
Greatest Common Factor
We found the factors 229,8757 . The biggest common factor number is the GCF number.
So the greatest common factor 229,8757 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 9996/229, 8441/8757?
Answer: LCM of Numerators as per given numbers 9996/229, 8441/8757 is
LCM of Numerators i.e. for 9996,8441 is 84376236
GCF of denominators i.e. for 229,8757 is 1.
Thus, LCM of Fractions is 84376236.Finally, LCM of Fractions for 9996/229, 8441/8757 is 84376236.