Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2432/566, 2444/2793 quickly i.e. 1485952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2432/566, 2444/2793 is 1485952.
LCM(2432/566, 2444/2793) = 1485952
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2432/566,2444/2793
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 2432,2444
Least Common Multiple of Numerators i.e. LCM of 2432,2444 is 1485952.
GCF of Denominators means GCF of 566,2793 as per the given fractions.
GCF of 566,2793 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2432,2444
2 | 2432, 2444 |
2 | 1216, 1222 |
608, 611 |
∴ So the LCM of the given numbers is 2 x 2 x 608 x 611 = 1485952
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 2432,2444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2432,2444) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(2432,2444) x common factors =4 x 1 = 4
LCM(2432,2444) = ( 2432 × 2444 ) / 4
LCM(2432,2444) = 5943808 / 4
LCM(2432,2444) = 1485952
Lets's calculate GCF of 566,2793
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1485952/1
Therefore the LCM of Fractions 2432/566,2444/2793 is 1485952
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Factors of 2793
List of positive integer factors of 2793 that divides 2793 without a remainder.
1,3,7,19,21,49,57,133,147,399,931,2793
Greatest Common Factor
We found the factors 566,2793 . The biggest common factor number is the GCF number.
So the greatest common factor 566,2793 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 2432/566, 2444/2793?
Answer: LCM of Numerators as per given numbers 2432/566, 2444/2793 is
LCM of Numerators i.e. for 2432,2444 is 1485952
GCF of denominators i.e. for 566,2793 is 1.
Thus, LCM of Fractions is 1485952.Finally, LCM of Fractions for 2432/566, 2444/2793 is 1485952.