Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 557/459, 8863/783 quickly i.e. 4936691/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 557/459, 8863/783 is 4936691/27.
LCM(557/459, 8863/783) = 4936691/27
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 557/459,8863/783
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 557,8863
Least Common Multiple of Numerators i.e. LCM of 557,8863 is 4936691.
GCF of Denominators means GCF of 459,783 as per the given fractions.
GCF of 459,783 is 27 as it is the largest common factor for these numbers.
Lets's calculate LCM of 557,8863
Given numbers has no common factors except 1. So, there LCM is their product i.e 4936691
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 557,8863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,8863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,8863) x common factors =1 x 1 = 1
LCM(557,8863) = ( 557 × 8863 ) / 1
LCM(557,8863) = 4936691 / 1
LCM(557,8863) = 4936691
Lets's calculate GCF of 459,783
3 | 459, 783 |
3 | 153, 261 |
3 | 51, 87 |
17, 29 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4936691/27
Therefore the LCM of Fractions 557/459,8863/783 is 4936691/27
Factors of 459
List of positive integer factors of 459 that divides 459 without a remainder.
1,3,9,17,27,51,153,459
Factors of 783
List of positive integer factors of 783 that divides 783 without a remainder.
1,3,9,27,29,87,261,783
Greatest Common Factor
We found the factors 459,783 . The biggest common factor number is the GCF number.
So the greatest common factor 459,783 is 27.
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 557/459, 8863/783?
Answer: LCM of Numerators as per given numbers 557/459, 8863/783 is
LCM of Numerators i.e. for 557,8863 is 4936691
GCF of denominators i.e. for 459,783 is 27.
Thus, LCM of Fractions is 4936691/27.Finally, LCM of Fractions for 557/459, 8863/783 is 4936691/27.