Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5770/512, 1909/3525 quickly i.e. 11014930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5770/512, 1909/3525 is 11014930.
LCM(5770/512, 1909/3525) = 11014930
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5770/512,1909/3525
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 5770,1909
Least Common Multiple of Numerators i.e. LCM of 5770,1909 is 11014930.
GCF of Denominators means GCF of 512,3525 as per the given fractions.
GCF of 512,3525 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5770,1909
Given numbers has no common factors except 1. So, there LCM is their product i.e 11014930
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 5770,1909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5770,1909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5770,1909) x common factors =1 x 1 = 1
LCM(5770,1909) = ( 5770 × 1909 ) / 1
LCM(5770,1909) = 11014930 / 1
LCM(5770,1909) = 11014930
Lets's calculate GCF of 512,3525
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11014930/1
Therefore the LCM of Fractions 5770/512,1909/3525 is 11014930
Factors of 512
List of positive integer factors of 512 that divides 512 without a remainder.
1,2,4,8,16,32,64,128,256,512
Factors of 3525
List of positive integer factors of 3525 that divides 3525 without a remainder.
1,3,5,15,25,47,75,141,235,705,1175,3525
Greatest Common Factor
We found the factors 512,3525 . The biggest common factor number is the GCF number.
So the greatest common factor 512,3525 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 5770/512, 1909/3525?
Answer: LCM of Numerators as per given numbers 5770/512, 1909/3525 is
LCM of Numerators i.e. for 5770,1909 is 11014930
GCF of denominators i.e. for 512,3525 is 1.
Thus, LCM of Fractions is 11014930.Finally, LCM of Fractions for 5770/512, 1909/3525 is 11014930.