Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/255, 96/216, 864/929 quickly i.e. 14688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/255, 96/216, 864/929 is 14688.
LCM(34/255, 96/216, 864/929) = 14688
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/255,96/216,864/929
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 34,96,864
Least Common Multiple of Numerators i.e. LCM of 34,96,864 is 14688.
GCF of Denominators means GCF of 255,216,929 as per the given fractions.
GCF of 255,216,929 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,96,864
2 | 34, 96, 864 |
2 | 17, 48, 432 |
2 | 17, 24, 216 |
2 | 17, 12, 108 |
2 | 17, 6, 54 |
3 | 17, 3, 27 |
17, 1, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 17 x 1 x 9 = 14688
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 34,96,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,96,864) = 2
common factors(in case of two or more numbers have common factors) = 96
GCF(34,96,864) x common factors =2 x 96 = 192
LCM(34,96,864) = ( 34 × 96 × 864 ) / 192
LCM(34,96,864) = 2820096 / 192
LCM(34,96,864) = 14688
Lets's calculate GCF of 255,216,929
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14688/1
Therefore the LCM of Fractions 34/255,96/216,864/929 is 14688
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Factors of 929
List of positive integer factors of 929 that divides 929 without a remainder.
1,929
Greatest Common Factor
We found the factors 255,216,929 . The biggest common factor number is the GCF number.
So the greatest common factor 255,216,929 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 34/255, 96/216, 864/929?
Answer: LCM of Numerators as per given numbers 34/255, 96/216, 864/929 is
LCM of Numerators i.e. for 34,96,864 is 14688
GCF of denominators i.e. for 255,216,929 is 1.
Thus, LCM of Fractions is 14688.Finally, LCM of Fractions for 34/255, 96/216, 864/929 is 14688.