Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 869/33, 652/5309 quickly i.e. 566588 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 869/33, 652/5309 is 566588.
LCM(869/33, 652/5309) = 566588
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 869/33,652/5309
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 869,652
Least Common Multiple of Numerators i.e. LCM of 869,652 is 566588.
GCF of Denominators means GCF of 33,5309 as per the given fractions.
GCF of 33,5309 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 869,652
Given numbers has no common factors except 1. So, there LCM is their product i.e 566588
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 869,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,652) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,652) x common factors =1 x 1 = 1
LCM(869,652) = ( 869 × 652 ) / 1
LCM(869,652) = 566588 / 1
LCM(869,652) = 566588
Lets's calculate GCF of 33,5309
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 566588/1
Therefore the LCM of Fractions 869/33,652/5309 is 566588
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 5309
List of positive integer factors of 5309 that divides 5309 without a remainder.
1,5309
Greatest Common Factor
We found the factors 33,5309 . The biggest common factor number is the GCF number.
So the greatest common factor 33,5309 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 869/33, 652/5309?
Answer: LCM of Numerators as per given numbers 869/33, 652/5309 is
LCM of Numerators i.e. for 869,652 is 566588
GCF of denominators i.e. for 33,5309 is 1.
Thus, LCM of Fractions is 566588.Finally, LCM of Fractions for 869/33, 652/5309 is 566588.