Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/582, 69/184, 63/366 quickly i.e. 1449/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/582, 69/184, 63/366 is 1449/2.
LCM(1/582, 69/184, 63/366) = 1449/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/582,69/184,63/366
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 1,69,63
Least Common Multiple of Numerators i.e. LCM of 1,69,63 is 1449.
GCF of Denominators means GCF of 582,184,366 as per the given fractions.
GCF of 582,184,366 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,69,63
3 | 1, 69, 63 |
1, 23, 21 |
∴ So the LCM of the given numbers is 3 x 1 x 23 x 21 = 1449
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 1,69,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,69,63) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(1,69,63) x common factors =1 x 3 = 3
LCM(1,69,63) = ( 1 × 69 × 63 ) / 3
LCM(1,69,63) = 4347 / 3
LCM(1,69,63) = 1449
Lets's calculate GCF of 582,184,366
2 | 582, 184, 366 |
291, 92, 183 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1449/2
Therefore the LCM of Fractions 1/582,69/184,63/366 is 1449/2
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Greatest Common Factor
We found the factors 582,184,366 . The biggest common factor number is the GCF number.
So the greatest common factor 582,184,366 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 1/582, 69/184, 63/366?
Answer: LCM of Numerators as per given numbers 1/582, 69/184, 63/366 is
LCM of Numerators i.e. for 1,69,63 is 1449
GCF of denominators i.e. for 582,184,366 is 2.
Thus, LCM of Fractions is 1449/2.Finally, LCM of Fractions for 1/582, 69/184, 63/366 is 1449/2.