Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2063/230, 5746/2435 quickly i.e. 11853998/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2063/230, 5746/2435 is 11853998/5.
LCM(2063/230, 5746/2435) = 11853998/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2063/230,5746/2435
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 2063,5746
Least Common Multiple of Numerators i.e. LCM of 2063,5746 is 11853998.
GCF of Denominators means GCF of 230,2435 as per the given fractions.
GCF of 230,2435 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2063,5746
Given numbers has no common factors except 1. So, there LCM is their product i.e 11853998
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 2063,5746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2063,5746) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2063,5746) x common factors =1 x 1 = 1
LCM(2063,5746) = ( 2063 × 5746 ) / 1
LCM(2063,5746) = 11853998 / 1
LCM(2063,5746) = 11853998
Lets's calculate GCF of 230,2435
5 | 230, 2435 |
46, 487 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11853998/5
Therefore the LCM of Fractions 2063/230,5746/2435 is 11853998/5
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 2435
List of positive integer factors of 2435 that divides 2435 without a remainder.
1,5,487,2435
Greatest Common Factor
We found the factors 230,2435 . The biggest common factor number is the GCF number.
So the greatest common factor 230,2435 is 5.
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 2063/230, 5746/2435?
Answer: LCM of Numerators as per given numbers 2063/230, 5746/2435 is
LCM of Numerators i.e. for 2063,5746 is 11853998
GCF of denominators i.e. for 230,2435 is 5.
Thus, LCM of Fractions is 11853998/5.Finally, LCM of Fractions for 2063/230, 5746/2435 is 11853998/5.