Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/18, 269/27, 888/225 quickly i.e. 6927288/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/18, 269/27, 888/225 is 6927288/9.
LCM(87/18, 269/27, 888/225) = 6927288/9
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/18,269/27,888/225
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 87,269,888
Least Common Multiple of Numerators i.e. LCM of 87,269,888 is 6927288.
GCF of Denominators means GCF of 18,27,225 as per the given fractions.
GCF of 18,27,225 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,269,888
3 | 87, 269, 888 |
29, 269, 296 |
∴ So the LCM of the given numbers is 3 x 29 x 269 x 296 = 6927288
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 87,269,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,269,888) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(87,269,888) x common factors =1 x 3 = 3
LCM(87,269,888) = ( 87 × 269 × 888 ) / 3
LCM(87,269,888) = 20781864 / 3
LCM(87,269,888) = 6927288
Lets's calculate GCF of 18,27,225
3 | 18, 27, 225 |
3 | 6, 9, 75 |
2, 3, 25 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6927288/9
Therefore the LCM of Fractions 87/18,269/27,888/225 is 6927288/9
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Greatest Common Factor
We found the factors 18,27,225 . The biggest common factor number is the GCF number.
So the greatest common factor 18,27,225 is 9.
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 87/18, 269/27, 888/225?
Answer: LCM of Numerators as per given numbers 87/18, 269/27, 888/225 is
LCM of Numerators i.e. for 87,269,888 is 6927288
GCF of denominators i.e. for 18,27,225 is 9.
Thus, LCM of Fractions is 6927288/9.Finally, LCM of Fractions for 87/18, 269/27, 888/225 is 6927288/9.