Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 159/27, 777/6342 quickly i.e. 13727 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 159/27, 777/6342 is 13727.
LCM(159/27, 777/6342) = 13727
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 159/27,777/6342
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 159,777
Least Common Multiple of Numerators i.e. LCM of 159,777 is 41181.
GCF of Denominators means GCF of 27,6342 as per the given fractions.
GCF of 27,6342 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 159,777
3 | 159, 777 |
53, 259 |
∴ So the LCM of the given numbers is 3 x 53 x 259 = 41181
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 159,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,777) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,777) x common factors =3 x 1 = 3
LCM(159,777) = ( 159 × 777 ) / 3
LCM(159,777) = 123543 / 3
LCM(159,777) = 41181
Lets's calculate GCF of 27,6342
3 | 27, 6342 |
9, 2114 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41181/3
Therefore the LCM of Fractions 159/27,777/6342 is 13727
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 6342
List of positive integer factors of 6342 that divides 6342 without a remainder.
1,2,3,6,7,14,21,42,151,302,453,906,1057,2114,3171,6342
Greatest Common Factor
We found the factors 27,6342 . The biggest common factor number is the GCF number.
So the greatest common factor 27,6342 is 3.
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 159/27, 777/6342?
Answer: LCM of Numerators as per given numbers 159/27, 777/6342 is
LCM of Numerators i.e. for 159,777 is 41181
GCF of denominators i.e. for 27,6342 is 3.
Thus, LCM of Fractions is 13727.Finally, LCM of Fractions for 159/27, 777/6342 is 13727.