Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/50, 72/86, 18/486 quickly i.e. 108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/50, 72/86, 18/486 is 108.
LCM(54/50, 72/86, 18/486) = 108
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/50,72/86,18/486
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 54,72,18
Least Common Multiple of Numerators i.e. LCM of 54,72,18 is 216.
GCF of Denominators means GCF of 50,86,486 as per the given fractions.
GCF of 50,86,486 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,72,18
2 | 54, 72, 18 |
3 | 27, 36, 9 |
3 | 3, 12, 9 |
1, 4, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 4 x 3 = 216
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 54,72,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,72,18) = 18
common factors(in case of two or more numbers have common factors) = 18
GCF(54,72,18) x common factors =18 x 18 = 324
LCM(54,72,18) = ( 54 × 72 × 18 ) / 324
LCM(54,72,18) = 69984 / 324
LCM(54,72,18) = 216
Lets's calculate GCF of 50,86,486
2 | 50, 86, 486 |
25, 43, 243 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216/2
Therefore the LCM of Fractions 54/50,72/86,18/486 is 108
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
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
Greatest Common Factor
We found the factors 50,86,486 . The biggest common factor number is the GCF number.
So the greatest common factor 50,86,486 is 2.
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 54/50, 72/86, 18/486?
Answer: LCM of Numerators as per given numbers 54/50, 72/86, 18/486 is
LCM of Numerators i.e. for 54,72,18 is 216
GCF of denominators i.e. for 50,86,486 is 2.
Thus, LCM of Fractions is 108.Finally, LCM of Fractions for 54/50, 72/86, 18/486 is 108.