Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/135, 1636/4093 quickly i.e. 21268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/135, 1636/4093 is 21268.
LCM(52/135, 1636/4093) = 21268
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/135,1636/4093
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 52,1636
Least Common Multiple of Numerators i.e. LCM of 52,1636 is 21268.
GCF of Denominators means GCF of 135,4093 as per the given fractions.
GCF of 135,4093 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,1636
2 | 52, 1636 |
2 | 26, 818 |
13, 409 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 409 = 21268
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 52,1636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,1636) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(52,1636) x common factors =4 x 1 = 4
LCM(52,1636) = ( 52 × 1636 ) / 4
LCM(52,1636) = 85072 / 4
LCM(52,1636) = 21268
Lets's calculate GCF of 135,4093
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21268/1
Therefore the LCM of Fractions 52/135,1636/4093 is 21268
Factors of 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Factors of 4093
List of positive integer factors of 4093 that divides 4093 without a remainder.
1,4093
Greatest Common Factor
We found the factors 135,4093 . The biggest common factor number is the GCF number.
So the greatest common factor 135,4093 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 52/135, 1636/4093?
Answer: LCM of Numerators as per given numbers 52/135, 1636/4093 is
LCM of Numerators i.e. for 52,1636 is 21268
GCF of denominators i.e. for 135,4093 is 1.
Thus, LCM of Fractions is 21268.Finally, LCM of Fractions for 52/135, 1636/4093 is 21268.