Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 384/86, 728/9760 quickly i.e. 17472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 384/86, 728/9760 is 17472.
LCM(384/86, 728/9760) = 17472
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 384/86,728/9760
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 384,728
Least Common Multiple of Numerators i.e. LCM of 384,728 is 34944.
GCF of Denominators means GCF of 86,9760 as per the given fractions.
GCF of 86,9760 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 384,728
2 | 384, 728 |
2 | 192, 364 |
2 | 96, 182 |
48, 91 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 48 x 91 = 34944
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 384,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,728) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(384,728) x common factors =8 x 1 = 8
LCM(384,728) = ( 384 × 728 ) / 8
LCM(384,728) = 279552 / 8
LCM(384,728) = 34944
Lets's calculate GCF of 86,9760
2 | 86, 9760 |
43, 4880 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34944/2
Therefore the LCM of Fractions 384/86,728/9760 is 17472
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 9760
List of positive integer factors of 9760 that divides 9760 without a remainder.
1,2,4,5,8,10,16,20,32,40,61,80,122,160,244,305,488,610,976,1220,1952,2440,4880,9760
Greatest Common Factor
We found the factors 86,9760 . The biggest common factor number is the GCF number.
So the greatest common factor 86,9760 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 384/86, 728/9760?
Answer: LCM of Numerators as per given numbers 384/86, 728/9760 is
LCM of Numerators i.e. for 384,728 is 34944
GCF of denominators i.e. for 86,9760 is 2.
Thus, LCM of Fractions is 17472.Finally, LCM of Fractions for 384/86, 728/9760 is 17472.