Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/491, 5757/2175 quickly i.e. 333906 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/491, 5757/2175 is 333906.
LCM(58/491, 5757/2175) = 333906
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/491,5757/2175
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 58,5757
Least Common Multiple of Numerators i.e. LCM of 58,5757 is 333906.
GCF of Denominators means GCF of 491,2175 as per the given fractions.
GCF of 491,2175 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,5757
Given numbers has no common factors except 1. So, there LCM is their product i.e 333906
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 58,5757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,5757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,5757) x common factors =1 x 1 = 1
LCM(58,5757) = ( 58 × 5757 ) / 1
LCM(58,5757) = 333906 / 1
LCM(58,5757) = 333906
Lets's calculate GCF of 491,2175
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 333906/1
Therefore the LCM of Fractions 58/491,5757/2175 is 333906
Factors of 491
List of positive integer factors of 491 that divides 491 without a remainder.
1,491
Factors of 2175
List of positive integer factors of 2175 that divides 2175 without a remainder.
1,3,5,15,25,29,75,87,145,435,725,2175
Greatest Common Factor
We found the factors 491,2175 . The biggest common factor number is the GCF number.
So the greatest common factor 491,2175 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 58/491, 5757/2175?
Answer: LCM of Numerators as per given numbers 58/491, 5757/2175 is
LCM of Numerators i.e. for 58,5757 is 333906
GCF of denominators i.e. for 491,2175 is 1.
Thus, LCM of Fractions is 333906.Finally, LCM of Fractions for 58/491, 5757/2175 is 333906.