Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/999, 8665/2529 quickly i.e. 69320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/999, 8665/2529 is 69320.
LCM(72/999, 8665/2529) = 69320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/999,8665/2529
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 72,8665
Least Common Multiple of Numerators i.e. LCM of 72,8665 is 623880.
GCF of Denominators means GCF of 999,2529 as per the given fractions.
GCF of 999,2529 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,8665
Given numbers has no common factors except 1. So, there LCM is their product i.e 623880
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 72,8665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,8665) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(72,8665) x common factors =1 x 1 = 1
LCM(72,8665) = ( 72 × 8665 ) / 1
LCM(72,8665) = 623880 / 1
LCM(72,8665) = 623880
Lets's calculate GCF of 999,2529
3 | 999, 2529 |
3 | 333, 843 |
111, 281 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 623880/9
Therefore the LCM of Fractions 72/999,8665/2529 is 69320
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Factors of 2529
List of positive integer factors of 2529 that divides 2529 without a remainder.
1,3,9,281,843,2529
Greatest Common Factor
We found the factors 999,2529 . The biggest common factor number is the GCF number.
So the greatest common factor 999,2529 is 9.
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 72/999, 8665/2529?
Answer: LCM of Numerators as per given numbers 72/999, 8665/2529 is
LCM of Numerators i.e. for 72,8665 is 623880
GCF of denominators i.e. for 999,2529 is 9.
Thus, LCM of Fractions is 69320.Finally, LCM of Fractions for 72/999, 8665/2529 is 69320.