Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 829/143, 8052/8485 quickly i.e. 6675108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 829/143, 8052/8485 is 6675108.
LCM(829/143, 8052/8485) = 6675108
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 829/143,8052/8485
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 829,8052
Least Common Multiple of Numerators i.e. LCM of 829,8052 is 6675108.
GCF of Denominators means GCF of 143,8485 as per the given fractions.
GCF of 143,8485 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 829,8052
Given numbers has no common factors except 1. So, there LCM is their product i.e 6675108
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 829,8052 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,8052) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,8052) x common factors =1 x 1 = 1
LCM(829,8052) = ( 829 × 8052 ) / 1
LCM(829,8052) = 6675108 / 1
LCM(829,8052) = 6675108
Lets's calculate GCF of 143,8485
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6675108/1
Therefore the LCM of Fractions 829/143,8052/8485 is 6675108
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Factors of 8485
List of positive integer factors of 8485 that divides 8485 without a remainder.
1,5,1697,8485
Greatest Common Factor
We found the factors 143,8485 . The biggest common factor number is the GCF number.
So the greatest common factor 143,8485 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 829/143, 8052/8485?
Answer: LCM of Numerators as per given numbers 829/143, 8052/8485 is
LCM of Numerators i.e. for 829,8052 is 6675108
GCF of denominators i.e. for 143,8485 is 1.
Thus, LCM of Fractions is 6675108.Finally, LCM of Fractions for 829/143, 8052/8485 is 6675108.