Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/855, 83/927, 83/108 quickly i.e. 83 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/855, 83/927, 83/108 is 83.
LCM(9/855, 83/927, 83/108) = 83
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/855,83/927,83/108
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 9,83,83
Least Common Multiple of Numerators i.e. LCM of 9,83,83 is 747.
GCF of Denominators means GCF of 855,927,108 as per the given fractions.
GCF of 855,927,108 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,83,83
83 | 9, 83, 83 |
9, 1, 1 |
∴ So the LCM of the given numbers is 83 x 9 x 1 x 1 = 747
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 9,83,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,83,83) = 1
common factors(in case of two or more numbers have common factors) = 83
GCF(9,83,83) x common factors =1 x 83 = 83
LCM(9,83,83) = ( 9 × 83 × 83 ) / 83
LCM(9,83,83) = 62001 / 83
LCM(9,83,83) = 747
Lets's calculate GCF of 855,927,108
3 | 855, 927, 108 |
3 | 285, 309, 36 |
95, 103, 12 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 747/9
Therefore the LCM of Fractions 9/855,83/927,83/108 is 83
Factors of 855
List of positive integer factors of 855 that divides 855 without a remainder.
1,3,5,9,15,19,45,57,95,171,285,855
Factors of 927
List of positive integer factors of 927 that divides 927 without a remainder.
1,3,9,103,309,927
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Greatest Common Factor
We found the factors 855,927,108 . The biggest common factor number is the GCF number.
So the greatest common factor 855,927,108 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 9/855, 83/927, 83/108?
Answer: LCM of Numerators as per given numbers 9/855, 83/927, 83/108 is
LCM of Numerators i.e. for 9,83,83 is 747
GCF of denominators i.e. for 855,927,108 is 9.
Thus, LCM of Fractions is 83.Finally, LCM of Fractions for 9/855, 83/927, 83/108 is 83.