Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4576/976, 2474/2473 quickly i.e. 5660512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4576/976, 2474/2473 is 5660512.
LCM(4576/976, 2474/2473) = 5660512
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4576/976,2474/2473
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 4576,2474
Least Common Multiple of Numerators i.e. LCM of 4576,2474 is 5660512.
GCF of Denominators means GCF of 976,2473 as per the given fractions.
GCF of 976,2473 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4576,2474
2 | 4576, 2474 |
2288, 1237 |
∴ So the LCM of the given numbers is 2 x 2288 x 1237 = 5660512
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 4576,2474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4576,2474) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4576,2474) x common factors =2 x 1 = 2
LCM(4576,2474) = ( 4576 × 2474 ) / 2
LCM(4576,2474) = 11321024 / 2
LCM(4576,2474) = 5660512
Lets's calculate GCF of 976,2473
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5660512/1
Therefore the LCM of Fractions 4576/976,2474/2473 is 5660512
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 2473
List of positive integer factors of 2473 that divides 2473 without a remainder.
1,2473
Greatest Common Factor
We found the factors 976,2473 . The biggest common factor number is the GCF number.
So the greatest common factor 976,2473 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 4576/976, 2474/2473?
Answer: LCM of Numerators as per given numbers 4576/976, 2474/2473 is
LCM of Numerators i.e. for 4576,2474 is 5660512
GCF of denominators i.e. for 976,2473 is 1.
Thus, LCM of Fractions is 5660512.Finally, LCM of Fractions for 4576/976, 2474/2473 is 5660512.