Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2383/456, 4753/1030 quickly i.e. 11326399/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2383/456, 4753/1030 is 11326399/2.
LCM(2383/456, 4753/1030) = 11326399/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2383/456,4753/1030
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 2383,4753
Least Common Multiple of Numerators i.e. LCM of 2383,4753 is 11326399.
GCF of Denominators means GCF of 456,1030 as per the given fractions.
GCF of 456,1030 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2383,4753
Given numbers has no common factors except 1. So, there LCM is their product i.e 11326399
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 2383,4753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2383,4753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2383,4753) x common factors =1 x 1 = 1
LCM(2383,4753) = ( 2383 × 4753 ) / 1
LCM(2383,4753) = 11326399 / 1
LCM(2383,4753) = 11326399
Lets's calculate GCF of 456,1030
2 | 456, 1030 |
228, 515 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11326399/2
Therefore the LCM of Fractions 2383/456,4753/1030 is 11326399/2
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Factors of 1030
List of positive integer factors of 1030 that divides 1030 without a remainder.
1,2,5,10,103,206,515,1030
Greatest Common Factor
We found the factors 456,1030 . The biggest common factor number is the GCF number.
So the greatest common factor 456,1030 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 2383/456, 4753/1030?
Answer: LCM of Numerators as per given numbers 2383/456, 4753/1030 is
LCM of Numerators i.e. for 2383,4753 is 11326399
GCF of denominators i.e. for 456,1030 is 2.
Thus, LCM of Fractions is 11326399/2.Finally, LCM of Fractions for 2383/456, 4753/1030 is 11326399/2.