Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/462, 5293/4919 quickly i.e. 132325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/462, 5293/4919 is 132325.
LCM(25/462, 5293/4919) = 132325
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/462,5293/4919
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 25,5293
Least Common Multiple of Numerators i.e. LCM of 25,5293 is 132325.
GCF of Denominators means GCF of 462,4919 as per the given fractions.
GCF of 462,4919 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,5293
Given numbers has no common factors except 1. So, there LCM is their product i.e 132325
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 25,5293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,5293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,5293) x common factors =1 x 1 = 1
LCM(25,5293) = ( 25 × 5293 ) / 1
LCM(25,5293) = 132325 / 1
LCM(25,5293) = 132325
Lets's calculate GCF of 462,4919
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132325/1
Therefore the LCM of Fractions 25/462,5293/4919 is 132325
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Factors of 4919
List of positive integer factors of 4919 that divides 4919 without a remainder.
1,4919
Greatest Common Factor
We found the factors 462,4919 . The biggest common factor number is the GCF number.
So the greatest common factor 462,4919 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 25/462, 5293/4919?
Answer: LCM of Numerators as per given numbers 25/462, 5293/4919 is
LCM of Numerators i.e. for 25,5293 is 132325
GCF of denominators i.e. for 462,4919 is 1.
Thus, LCM of Fractions is 132325.Finally, LCM of Fractions for 25/462, 5293/4919 is 132325.