Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7033/644, 8493/4173 quickly i.e. 59731269 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7033/644, 8493/4173 is 59731269.
LCM(7033/644, 8493/4173) = 59731269
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7033/644,8493/4173
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 7033,8493
Least Common Multiple of Numerators i.e. LCM of 7033,8493 is 59731269.
GCF of Denominators means GCF of 644,4173 as per the given fractions.
GCF of 644,4173 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7033,8493
Given numbers has no common factors except 1. So, there LCM is their product i.e 59731269
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 7033,8493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7033,8493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7033,8493) x common factors =1 x 1 = 1
LCM(7033,8493) = ( 7033 × 8493 ) / 1
LCM(7033,8493) = 59731269 / 1
LCM(7033,8493) = 59731269
Lets's calculate GCF of 644,4173
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59731269/1
Therefore the LCM of Fractions 7033/644,8493/4173 is 59731269
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 4173
List of positive integer factors of 4173 that divides 4173 without a remainder.
1,3,13,39,107,321,1391,4173
Greatest Common Factor
We found the factors 644,4173 . The biggest common factor number is the GCF number.
So the greatest common factor 644,4173 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 7033/644, 8493/4173?
Answer: LCM of Numerators as per given numbers 7033/644, 8493/4173 is
LCM of Numerators i.e. for 7033,8493 is 59731269
GCF of denominators i.e. for 644,4173 is 1.
Thus, LCM of Fractions is 59731269.Finally, LCM of Fractions for 7033/644, 8493/4173 is 59731269.