Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9004/644, 8425/372 quickly i.e. 18964675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9004/644, 8425/372 is 18964675.
LCM(9004/644, 8425/372) = 18964675
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9004/644,8425/372
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 9004,8425
Least Common Multiple of Numerators i.e. LCM of 9004,8425 is 75858700.
GCF of Denominators means GCF of 644,372 as per the given fractions.
GCF of 644,372 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9004,8425
Given numbers has no common factors except 1. So, there LCM is their product i.e 75858700
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 9004,8425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9004,8425) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9004,8425) x common factors =1 x 1 = 1
LCM(9004,8425) = ( 9004 × 8425 ) / 1
LCM(9004,8425) = 75858700 / 1
LCM(9004,8425) = 75858700
Lets's calculate GCF of 644,372
2 | 644, 372 |
2 | 322, 186 |
161, 93 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75858700/4
Therefore the LCM of Fractions 9004/644,8425/372 is 18964675
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Greatest Common Factor
We found the factors 644,372 . The biggest common factor number is the GCF number.
So the greatest common factor 644,372 is 4.
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 9004/644, 8425/372?
Answer: LCM of Numerators as per given numbers 9004/644, 8425/372 is
LCM of Numerators i.e. for 9004,8425 is 75858700
GCF of denominators i.e. for 644,372 is 4.
Thus, LCM of Fractions is 18964675.Finally, LCM of Fractions for 9004/644, 8425/372 is 18964675.