Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 535/40, 203/5629 quickly i.e. 108605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 535/40, 203/5629 is 108605.
LCM(535/40, 203/5629) = 108605
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 535/40,203/5629
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 535,203
Least Common Multiple of Numerators i.e. LCM of 535,203 is 108605.
GCF of Denominators means GCF of 40,5629 as per the given fractions.
GCF of 40,5629 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 535,203
Given numbers has no common factors except 1. So, there LCM is their product i.e 108605
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 535,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(535,203) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(535,203) x common factors =1 x 1 = 1
LCM(535,203) = ( 535 × 203 ) / 1
LCM(535,203) = 108605 / 1
LCM(535,203) = 108605
Lets's calculate GCF of 40,5629
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108605/1
Therefore the LCM of Fractions 535/40,203/5629 is 108605
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 5629
List of positive integer factors of 5629 that divides 5629 without a remainder.
1,13,433,5629
Greatest Common Factor
We found the factors 40,5629 . The biggest common factor number is the GCF number.
So the greatest common factor 40,5629 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 535/40, 203/5629?
Answer: LCM of Numerators as per given numbers 535/40, 203/5629 is
LCM of Numerators i.e. for 535,203 is 108605
GCF of denominators i.e. for 40,5629 is 1.
Thus, LCM of Fractions is 108605.Finally, LCM of Fractions for 535/40, 203/5629 is 108605.