Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4482/297, 4779/568 quickly i.e. 793314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4482/297, 4779/568 is 793314.
LCM(4482/297, 4779/568) = 793314
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4482/297,4779/568
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 4482,4779
Least Common Multiple of Numerators i.e. LCM of 4482,4779 is 793314.
GCF of Denominators means GCF of 297,568 as per the given fractions.
GCF of 297,568 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4482,4779
3 | 4482, 4779 |
3 | 1494, 1593 |
3 | 498, 531 |
166, 177 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 166 x 177 = 793314
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 4482,4779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4482,4779) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(4482,4779) x common factors =27 x 1 = 27
LCM(4482,4779) = ( 4482 × 4779 ) / 27
LCM(4482,4779) = 21419478 / 27
LCM(4482,4779) = 793314
Lets's calculate GCF of 297,568
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 793314/1
Therefore the LCM of Fractions 4482/297,4779/568 is 793314
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Greatest Common Factor
We found the factors 297,568 . The biggest common factor number is the GCF number.
So the greatest common factor 297,568 is 1.
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 4482/297, 4779/568?
Answer: LCM of Numerators as per given numbers 4482/297, 4779/568 is
LCM of Numerators i.e. for 4482,4779 is 793314
GCF of denominators i.e. for 297,568 is 1.
Thus, LCM of Fractions is 793314.Finally, LCM of Fractions for 4482/297, 4779/568 is 793314.