Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/516, 7824/8930 quickly i.e. 11736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/516, 7824/8930 is 11736.
LCM(72/516, 7824/8930) = 11736
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/516,7824/8930
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 72,7824
Least Common Multiple of Numerators i.e. LCM of 72,7824 is 23472.
GCF of Denominators means GCF of 516,8930 as per the given fractions.
GCF of 516,8930 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,7824
2 | 72, 7824 |
2 | 36, 3912 |
2 | 18, 1956 |
3 | 9, 978 |
3, 326 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 326 = 23472
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 72,7824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,7824) = 24
common factors(in case of two or more numbers have common factors) = 1
GCF(72,7824) x common factors =24 x 1 = 24
LCM(72,7824) = ( 72 × 7824 ) / 24
LCM(72,7824) = 563328 / 24
LCM(72,7824) = 23472
Lets's calculate GCF of 516,8930
2 | 516, 8930 |
258, 4465 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23472/2
Therefore the LCM of Fractions 72/516,7824/8930 is 11736
Factors of 516
List of positive integer factors of 516 that divides 516 without a remainder.
1,2,3,4,6,12,43,86,129,172,258,516
Factors of 8930
List of positive integer factors of 8930 that divides 8930 without a remainder.
1,2,5,10,19,38,47,94,95,190,235,470,893,1786,4465,8930
Greatest Common Factor
We found the factors 516,8930 . The biggest common factor number is the GCF number.
So the greatest common factor 516,8930 is 2.
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 72/516, 7824/8930?
Answer: LCM of Numerators as per given numbers 72/516, 7824/8930 is
LCM of Numerators i.e. for 72,7824 is 23472
GCF of denominators i.e. for 516,8930 is 2.
Thus, LCM of Fractions is 11736.Finally, LCM of Fractions for 72/516, 7824/8930 is 11736.