Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/687, 27/796, 878/960 quickly i.e. 189648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/687, 27/796, 878/960 is 189648.
LCM(16/687, 27/796, 878/960) = 189648
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/687,27/796,878/960
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 16,27,878
Least Common Multiple of Numerators i.e. LCM of 16,27,878 is 189648.
GCF of Denominators means GCF of 687,796,960 as per the given fractions.
GCF of 687,796,960 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,27,878
2 | 16, 27, 878 |
8, 27, 439 |
∴ So the LCM of the given numbers is 2 x 8 x 27 x 439 = 189648
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 16,27,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,27,878) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(16,27,878) x common factors =1 x 2 = 2
LCM(16,27,878) = ( 16 × 27 × 878 ) / 2
LCM(16,27,878) = 379296 / 2
LCM(16,27,878) = 189648
Lets's calculate GCF of 687,796,960
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189648/1
Therefore the LCM of Fractions 16/687,27/796,878/960 is 189648
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Factors of 960
List of positive integer factors of 960 that divides 960 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Greatest Common Factor
We found the factors 687,796,960 . The biggest common factor number is the GCF number.
So the greatest common factor 687,796,960 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 16/687, 27/796, 878/960?
Answer: LCM of Numerators as per given numbers 16/687, 27/796, 878/960 is
LCM of Numerators i.e. for 16,27,878 is 189648
GCF of denominators i.e. for 687,796,960 is 1.
Thus, LCM of Fractions is 189648.Finally, LCM of Fractions for 16/687, 27/796, 878/960 is 189648.