Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 535/27, 590/4259 quickly i.e. 63130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 535/27, 590/4259 is 63130.
LCM(535/27, 590/4259) = 63130
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 535/27,590/4259
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 535,590
Least Common Multiple of Numerators i.e. LCM of 535,590 is 63130.
GCF of Denominators means GCF of 27,4259 as per the given fractions.
GCF of 27,4259 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 535,590
5 | 535, 590 |
107, 118 |
∴ So the LCM of the given numbers is 5 x 107 x 118 = 63130
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 535,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(535,590) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(535,590) x common factors =5 x 1 = 5
LCM(535,590) = ( 535 × 590 ) / 5
LCM(535,590) = 315650 / 5
LCM(535,590) = 63130
Lets's calculate GCF of 27,4259
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63130/1
Therefore the LCM of Fractions 535/27,590/4259 is 63130
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 4259
List of positive integer factors of 4259 that divides 4259 without a remainder.
1,4259
Greatest Common Factor
We found the factors 27,4259 . The biggest common factor number is the GCF number.
So the greatest common factor 27,4259 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 535/27, 590/4259?
Answer: LCM of Numerators as per given numbers 535/27, 590/4259 is
LCM of Numerators i.e. for 535,590 is 63130
GCF of denominators i.e. for 27,4259 is 1.
Thus, LCM of Fractions is 63130.Finally, LCM of Fractions for 535/27, 590/4259 is 63130.