Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8744/352, 8585/9289 quickly i.e. 75067240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8744/352, 8585/9289 is 75067240.
LCM(8744/352, 8585/9289) = 75067240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8744/352,8585/9289
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 8744,8585
Least Common Multiple of Numerators i.e. LCM of 8744,8585 is 75067240.
GCF of Denominators means GCF of 352,9289 as per the given fractions.
GCF of 352,9289 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8744,8585
Given numbers has no common factors except 1. So, there LCM is their product i.e 75067240
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 8744,8585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8744,8585) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8744,8585) x common factors =1 x 1 = 1
LCM(8744,8585) = ( 8744 × 8585 ) / 1
LCM(8744,8585) = 75067240 / 1
LCM(8744,8585) = 75067240
Lets's calculate GCF of 352,9289
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75067240/1
Therefore the LCM of Fractions 8744/352,8585/9289 is 75067240
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Factors of 9289
List of positive integer factors of 9289 that divides 9289 without a remainder.
1,7,1327,9289
Greatest Common Factor
We found the factors 352,9289 . The biggest common factor number is the GCF number.
So the greatest common factor 352,9289 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 8744/352, 8585/9289?
Answer: LCM of Numerators as per given numbers 8744/352, 8585/9289 is
LCM of Numerators i.e. for 8744,8585 is 75067240
GCF of denominators i.e. for 352,9289 is 1.
Thus, LCM of Fractions is 75067240.Finally, LCM of Fractions for 8744/352, 8585/9289 is 75067240.