Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8599/481, 8734/6627 quickly i.e. 75103666 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8599/481, 8734/6627 is 75103666.
LCM(8599/481, 8734/6627) = 75103666
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8599/481,8734/6627
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 8599,8734
Least Common Multiple of Numerators i.e. LCM of 8599,8734 is 75103666.
GCF of Denominators means GCF of 481,6627 as per the given fractions.
GCF of 481,6627 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8599,8734
Given numbers has no common factors except 1. So, there LCM is their product i.e 75103666
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 8599,8734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8599,8734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8599,8734) x common factors =1 x 1 = 1
LCM(8599,8734) = ( 8599 × 8734 ) / 1
LCM(8599,8734) = 75103666 / 1
LCM(8599,8734) = 75103666
Lets's calculate GCF of 481,6627
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75103666/1
Therefore the LCM of Fractions 8599/481,8734/6627 is 75103666
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Factors of 6627
List of positive integer factors of 6627 that divides 6627 without a remainder.
1,3,47,141,2209,6627
Greatest Common Factor
We found the factors 481,6627 . The biggest common factor number is the GCF number.
So the greatest common factor 481,6627 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 8599/481, 8734/6627?
Answer: LCM of Numerators as per given numbers 8599/481, 8734/6627 is
LCM of Numerators i.e. for 8599,8734 is 75103666
GCF of denominators i.e. for 481,6627 is 1.
Thus, LCM of Fractions is 75103666.Finally, LCM of Fractions for 8599/481, 8734/6627 is 75103666.