Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8843/609, 3527/5485 quickly i.e. 31189261 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8843/609, 3527/5485 is 31189261.
LCM(8843/609, 3527/5485) = 31189261
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8843/609,3527/5485
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 8843,3527
Least Common Multiple of Numerators i.e. LCM of 8843,3527 is 31189261.
GCF of Denominators means GCF of 609,5485 as per the given fractions.
GCF of 609,5485 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8843,3527
Given numbers has no common factors except 1. So, there LCM is their product i.e 31189261
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 8843,3527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8843,3527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8843,3527) x common factors =1 x 1 = 1
LCM(8843,3527) = ( 8843 × 3527 ) / 1
LCM(8843,3527) = 31189261 / 1
LCM(8843,3527) = 31189261
Lets's calculate GCF of 609,5485
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31189261/1
Therefore the LCM of Fractions 8843/609,3527/5485 is 31189261
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Factors of 5485
List of positive integer factors of 5485 that divides 5485 without a remainder.
1,5,1097,5485
Greatest Common Factor
We found the factors 609,5485 . The biggest common factor number is the GCF number.
So the greatest common factor 609,5485 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 8843/609, 3527/5485?
Answer: LCM of Numerators as per given numbers 8843/609, 3527/5485 is
LCM of Numerators i.e. for 8843,3527 is 31189261
GCF of denominators i.e. for 609,5485 is 1.
Thus, LCM of Fractions is 31189261.Finally, LCM of Fractions for 8843/609, 3527/5485 is 31189261.