Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/135, 6025/4459 quickly i.e. 560325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/135, 6025/4459 is 560325.
LCM(93/135, 6025/4459) = 560325
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/135,6025/4459
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 93,6025
Least Common Multiple of Numerators i.e. LCM of 93,6025 is 560325.
GCF of Denominators means GCF of 135,4459 as per the given fractions.
GCF of 135,4459 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,6025
Given numbers has no common factors except 1. So, there LCM is their product i.e 560325
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 93,6025 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,6025) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,6025) x common factors =1 x 1 = 1
LCM(93,6025) = ( 93 × 6025 ) / 1
LCM(93,6025) = 560325 / 1
LCM(93,6025) = 560325
Lets's calculate GCF of 135,4459
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 560325/1
Therefore the LCM of Fractions 93/135,6025/4459 is 560325
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 4459
List of positive integer factors of 4459 that divides 4459 without a remainder.
1,7,13,49,91,343,637,4459
Greatest Common Factor
We found the factors 135,4459 . The biggest common factor number is the GCF number.
So the greatest common factor 135,4459 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 93/135, 6025/4459?
Answer: LCM of Numerators as per given numbers 93/135, 6025/4459 is
LCM of Numerators i.e. for 93,6025 is 560325
GCF of denominators i.e. for 135,4459 is 1.
Thus, LCM of Fractions is 560325.Finally, LCM of Fractions for 93/135, 6025/4459 is 560325.