Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 567/230, 5803/4257 quickly i.e. 470043 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 567/230, 5803/4257 is 470043.
LCM(567/230, 5803/4257) = 470043
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 567/230,5803/4257
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 567,5803
Least Common Multiple of Numerators i.e. LCM of 567,5803 is 470043.
GCF of Denominators means GCF of 230,4257 as per the given fractions.
GCF of 230,4257 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 567,5803
7 | 567, 5803 |
81, 829 |
∴ So the LCM of the given numbers is 7 x 81 x 829 = 470043
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 567,5803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,5803) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(567,5803) x common factors =7 x 1 = 7
LCM(567,5803) = ( 567 × 5803 ) / 7
LCM(567,5803) = 3290301 / 7
LCM(567,5803) = 470043
Lets's calculate GCF of 230,4257
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 470043/1
Therefore the LCM of Fractions 567/230,5803/4257 is 470043
Factors of 230
List of positive integer factors of 230 that divides 230 without a remainder.
1,2,5,10,23,46,115,230
Factors of 4257
List of positive integer factors of 4257 that divides 4257 without a remainder.
1,3,9,11,33,43,99,129,387,473,1419,4257
Greatest Common Factor
We found the factors 230,4257 . The biggest common factor number is the GCF number.
So the greatest common factor 230,4257 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 567/230, 5803/4257?
Answer: LCM of Numerators as per given numbers 567/230, 5803/4257 is
LCM of Numerators i.e. for 567,5803 is 470043
GCF of denominators i.e. for 230,4257 is 1.
Thus, LCM of Fractions is 470043.Finally, LCM of Fractions for 567/230, 5803/4257 is 470043.