Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 159/27, 462/9636 quickly i.e. 8162 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, 462/9636 is 8162.
LCM(159/27, 462/9636) = 8162
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 159/27,462/9636
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 159,462
Least Common Multiple of Numerators i.e. LCM of 159,462 is 24486.
GCF of Denominators means GCF of 27,9636 as per the given fractions.
GCF of 27,9636 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 159,462
3 | 159, 462 |
53, 154 |
∴ So the LCM of the given numbers is 3 x 53 x 154 = 24486
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 159,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,462) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,462) x common factors =3 x 1 = 3
LCM(159,462) = ( 159 × 462 ) / 3
LCM(159,462) = 73458 / 3
LCM(159,462) = 24486
Lets's calculate GCF of 27,9636
3 | 27, 9636 |
9, 3212 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24486/3
Therefore the LCM of Fractions 159/27,462/9636 is 8162
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 9636
List of positive integer factors of 9636 that divides 9636 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,73,132,146,219,292,438,803,876,1606,2409,3212,4818,9636
Greatest Common Factor
We found the factors 27,9636 . The biggest common factor number is the GCF number.
So the greatest common factor 27,9636 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, 462/9636?
Answer: LCM of Numerators as per given numbers 159/27, 462/9636 is
LCM of Numerators i.e. for 159,462 is 24486
GCF of denominators i.e. for 27,9636 is 3.
Thus, LCM of Fractions is 8162.Finally, LCM of Fractions for 159/27, 462/9636 is 8162.