Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/27, 51/954, 81/899 quickly i.e. 6885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/27, 51/954, 81/899 is 6885.
LCM(5/27, 51/954, 81/899) = 6885
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/27,51/954,81/899
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 5,51,81
Least Common Multiple of Numerators i.e. LCM of 5,51,81 is 6885.
GCF of Denominators means GCF of 27,954,899 as per the given fractions.
GCF of 27,954,899 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,51,81
3 | 5, 51, 81 |
5, 17, 27 |
∴ So the LCM of the given numbers is 3 x 5 x 17 x 27 = 6885
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 5,51,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,51,81) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(5,51,81) x common factors =1 x 3 = 3
LCM(5,51,81) = ( 5 × 51 × 81 ) / 3
LCM(5,51,81) = 20655 / 3
LCM(5,51,81) = 6885
Lets's calculate GCF of 27,954,899
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6885/1
Therefore the LCM of Fractions 5/27,51/954,81/899 is 6885
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Greatest Common Factor
We found the factors 27,954,899 . The biggest common factor number is the GCF number.
So the greatest common factor 27,954,899 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 5/27, 51/954, 81/899?
Answer: LCM of Numerators as per given numbers 5/27, 51/954, 81/899 is
LCM of Numerators i.e. for 5,51,81 is 6885
GCF of denominators i.e. for 27,954,899 is 1.
Thus, LCM of Fractions is 6885.Finally, LCM of Fractions for 5/27, 51/954, 81/899 is 6885.