Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/42, 27/87, 54/36, 66/811 quickly i.e. 11880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/42, 27/87, 54/36, 66/811 is 11880.
LCM(40/42, 27/87, 54/36, 66/811) = 11880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/42,27/87,54/36,66/811
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 40,27,54,66
Least Common Multiple of Numerators i.e. LCM of 40,27,54,66 is 11880.
GCF of Denominators means GCF of 42,87,36,811 as per the given fractions.
GCF of 42,87,36,811 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,27,54,66
2 | 40, 27, 54, 66 |
3 | 20, 27, 27, 33 |
3 | 20, 9, 9, 11 |
3 | 20, 3, 3, 11 |
20, 1, 1, 11 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 20 x 1 x 1 x 11 = 11880
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 40,27,54,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,27,54,66) = 1
common factors(in case of two or more numbers have common factors) = 324
GCF(40,27,54,66) x common factors =1 x 324 = 324
LCM(40,27,54,66) = ( 40 × 27 × 54 × 66 ) / 324
LCM(40,27,54,66) = 3849120 / 324
LCM(40,27,54,66) = 11880
Lets's calculate GCF of 42,87,36,811
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11880/1
Therefore the LCM of Fractions 40/42,27/87,54/36,66/811 is 11880
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Greatest Common Factor
We found the factors 42,87,36,811 . The biggest common factor number is the GCF number.
So the greatest common factor 42,87,36,811 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 40/42, 27/87, 54/36, 66/811?
Answer: LCM of Numerators as per given numbers 40/42, 27/87, 54/36, 66/811 is
LCM of Numerators i.e. for 40,27,54,66 is 11880
GCF of denominators i.e. for 42,87,36,811 is 1.
Thus, LCM of Fractions is 11880.Finally, LCM of Fractions for 40/42, 27/87, 54/36, 66/811 is 11880.