Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 609/80, 1184/216 quickly i.e. 90132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 609/80, 1184/216 is 90132.
LCM(609/80, 1184/216) = 90132
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 609/80,1184/216
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 609,1184
Least Common Multiple of Numerators i.e. LCM of 609,1184 is 721056.
GCF of Denominators means GCF of 80,216 as per the given fractions.
GCF of 80,216 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 609,1184
Given numbers has no common factors except 1. So, there LCM is their product i.e 721056
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 609,1184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,1184) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(609,1184) x common factors =1 x 1 = 1
LCM(609,1184) = ( 609 × 1184 ) / 1
LCM(609,1184) = 721056 / 1
LCM(609,1184) = 721056
Lets's calculate GCF of 80,216
2 | 80, 216 |
2 | 40, 108 |
2 | 20, 54 |
10, 27 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 721056/8
Therefore the LCM of Fractions 609/80,1184/216 is 90132
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Greatest Common Factor
We found the factors 80,216 . The biggest common factor number is the GCF number.
So the greatest common factor 80,216 is 8.
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 609/80, 1184/216?
Answer: LCM of Numerators as per given numbers 609/80, 1184/216 is
LCM of Numerators i.e. for 609,1184 is 721056
GCF of denominators i.e. for 80,216 is 8.
Thus, LCM of Fractions is 90132.Finally, LCM of Fractions for 609/80, 1184/216 is 90132.