Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5004/633, 7252/2471 quickly i.e. 9072252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5004/633, 7252/2471 is 9072252.
LCM(5004/633, 7252/2471) = 9072252
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5004/633,7252/2471
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 5004,7252
Least Common Multiple of Numerators i.e. LCM of 5004,7252 is 9072252.
GCF of Denominators means GCF of 633,2471 as per the given fractions.
GCF of 633,2471 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5004,7252
2 | 5004, 7252 |
2 | 2502, 3626 |
1251, 1813 |
∴ So the LCM of the given numbers is 2 x 2 x 1251 x 1813 = 9072252
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 5004,7252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5004,7252) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(5004,7252) x common factors =4 x 1 = 4
LCM(5004,7252) = ( 5004 × 7252 ) / 4
LCM(5004,7252) = 36289008 / 4
LCM(5004,7252) = 9072252
Lets's calculate GCF of 633,2471
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9072252/1
Therefore the LCM of Fractions 5004/633,7252/2471 is 9072252
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Factors of 2471
List of positive integer factors of 2471 that divides 2471 without a remainder.
1,7,353,2471
Greatest Common Factor
We found the factors 633,2471 . The biggest common factor number is the GCF number.
So the greatest common factor 633,2471 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 5004/633, 7252/2471?
Answer: LCM of Numerators as per given numbers 5004/633, 7252/2471 is
LCM of Numerators i.e. for 5004,7252 is 9072252
GCF of denominators i.e. for 633,2471 is 1.
Thus, LCM of Fractions is 9072252.Finally, LCM of Fractions for 5004/633, 7252/2471 is 9072252.