Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 494/80, 366/86, 324/242 quickly i.e. 2440854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 494/80, 366/86, 324/242 is 2440854.
LCM(494/80, 366/86, 324/242) = 2440854
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 494/80,366/86,324/242
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 494,366,324
Least Common Multiple of Numerators i.e. LCM of 494,366,324 is 4881708.
GCF of Denominators means GCF of 80,86,242 as per the given fractions.
GCF of 80,86,242 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 494,366,324
2 | 494, 366, 324 |
3 | 247, 183, 162 |
247, 61, 54 |
∴ So the LCM of the given numbers is 2 x 3 x 247 x 61 x 54 = 4881708
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 494,366,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(494,366,324) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(494,366,324) x common factors =2 x 6 = 12
LCM(494,366,324) = ( 494 × 366 × 324 ) / 12
LCM(494,366,324) = 58580496 / 12
LCM(494,366,324) = 4881708
Lets's calculate GCF of 80,86,242
2 | 80, 86, 242 |
40, 43, 121 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4881708/2
Therefore the LCM of Fractions 494/80,366/86,324/242 is 2440854
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 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 242
List of positive integer factors of 242 that divides 242 without a remainder.
1,2,11,22,121,242
Greatest Common Factor
We found the factors 80,86,242 . The biggest common factor number is the GCF number.
So the greatest common factor 80,86,242 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 494/80, 366/86, 324/242?
Answer: LCM of Numerators as per given numbers 494/80, 366/86, 324/242 is
LCM of Numerators i.e. for 494,366,324 is 4881708
GCF of denominators i.e. for 80,86,242 is 2.
Thus, LCM of Fractions is 2440854.Finally, LCM of Fractions for 494/80, 366/86, 324/242 is 2440854.