Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/486, 27/243 quickly i.e. 1188/243 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/486, 27/243 is 1188/243.
LCM(44/486, 27/243) = 1188/243
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/486,27/243
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 44,27
Least Common Multiple of Numerators i.e. LCM of 44,27 is 1188.
GCF of Denominators means GCF of 486,243 as per the given fractions.
GCF of 486,243 is 243 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,27
Given numbers has no common factors except 1. So, there LCM is their product i.e 1188
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 44,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,27) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,27) x common factors =1 x 1 = 1
LCM(44,27) = ( 44 × 27 ) / 1
LCM(44,27) = 1188 / 1
LCM(44,27) = 1188
Lets's calculate GCF of 486,243
3 | 486, 243 |
3 | 162, 81 |
3 | 54, 27 |
3 | 18, 9 |
3 | 6, 3 |
2, 1 |
∴ So the GCF of the given numbers is 3 x 3 x 3 x 3 x 3 = 243
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1188/243
Therefore the LCM of Fractions 44/486,27/243 is 1188/243
Factors of 486
List of positive integer factors of 486 that divides 486 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486
Factors of 243
List of positive integer factors of 243 that divides 243 without a remainder.
1,3,9,27,81,243
Greatest Common Factor
We found the factors 486,243 . The biggest common factor number is the GCF number.
So the greatest common factor 486,243 is 243.
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 44/486, 27/243?
Answer: LCM of Numerators as per given numbers 44/486, 27/243 is
LCM of Numerators i.e. for 44,27 is 1188
GCF of denominators i.e. for 486,243 is 243.
Thus, LCM of Fractions is 1188/243.Finally, LCM of Fractions for 44/486, 27/243 is 1188/243.