Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 871/99, 777/4335 quickly i.e. 225589 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 871/99, 777/4335 is 225589.
LCM(871/99, 777/4335) = 225589
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 871/99,777/4335
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 871,777
Least Common Multiple of Numerators i.e. LCM of 871,777 is 676767.
GCF of Denominators means GCF of 99,4335 as per the given fractions.
GCF of 99,4335 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 871,777
Given numbers has no common factors except 1. So, there LCM is their product i.e 676767
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 871,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,777) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,777) x common factors =1 x 1 = 1
LCM(871,777) = ( 871 × 777 ) / 1
LCM(871,777) = 676767 / 1
LCM(871,777) = 676767
Lets's calculate GCF of 99,4335
3 | 99, 4335 |
33, 1445 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 676767/3
Therefore the LCM of Fractions 871/99,777/4335 is 225589
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 4335
List of positive integer factors of 4335 that divides 4335 without a remainder.
1,3,5,15,17,51,85,255,289,867,1445,4335
Greatest Common Factor
We found the factors 99,4335 . The biggest common factor number is the GCF number.
So the greatest common factor 99,4335 is 3.
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 871/99, 777/4335?
Answer: LCM of Numerators as per given numbers 871/99, 777/4335 is
LCM of Numerators i.e. for 871,777 is 676767
GCF of denominators i.e. for 99,4335 is 3.
Thus, LCM of Fractions is 225589.Finally, LCM of Fractions for 871/99, 777/4335 is 225589.