Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2658/58, 4841/489 quickly i.e. 12867378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2658/58, 4841/489 is 12867378.
LCM(2658/58, 4841/489) = 12867378
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2658/58,4841/489
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 2658,4841
Least Common Multiple of Numerators i.e. LCM of 2658,4841 is 12867378.
GCF of Denominators means GCF of 58,489 as per the given fractions.
GCF of 58,489 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2658,4841
Given numbers has no common factors except 1. So, there LCM is their product i.e 12867378
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 2658,4841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2658,4841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2658,4841) x common factors =1 x 1 = 1
LCM(2658,4841) = ( 2658 × 4841 ) / 1
LCM(2658,4841) = 12867378 / 1
LCM(2658,4841) = 12867378
Lets's calculate GCF of 58,489
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12867378/1
Therefore the LCM of Fractions 2658/58,4841/489 is 12867378
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Greatest Common Factor
We found the factors 58,489 . The biggest common factor number is the GCF number.
So the greatest common factor 58,489 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 2658/58, 4841/489?
Answer: LCM of Numerators as per given numbers 2658/58, 4841/489 is
LCM of Numerators i.e. for 2658,4841 is 12867378
GCF of denominators i.e. for 58,489 is 1.
Thus, LCM of Fractions is 12867378.Finally, LCM of Fractions for 2658/58, 4841/489 is 12867378.