Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/661, 6981/2755 quickly i.e. 404898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/661, 6981/2755 is 404898.
LCM(58/661, 6981/2755) = 404898
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/661,6981/2755
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 58,6981
Least Common Multiple of Numerators i.e. LCM of 58,6981 is 404898.
GCF of Denominators means GCF of 661,2755 as per the given fractions.
GCF of 661,2755 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,6981
Given numbers has no common factors except 1. So, there LCM is their product i.e 404898
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 58,6981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,6981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,6981) x common factors =1 x 1 = 1
LCM(58,6981) = ( 58 × 6981 ) / 1
LCM(58,6981) = 404898 / 1
LCM(58,6981) = 404898
Lets's calculate GCF of 661,2755
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 404898/1
Therefore the LCM of Fractions 58/661,6981/2755 is 404898
Factors of 661
List of positive integer factors of 661 that divides 661 without a remainder.
1,661
Factors of 2755
List of positive integer factors of 2755 that divides 2755 without a remainder.
1,5,19,29,95,145,551,2755
Greatest Common Factor
We found the factors 661,2755 . The biggest common factor number is the GCF number.
So the greatest common factor 661,2755 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 58/661, 6981/2755?
Answer: LCM of Numerators as per given numbers 58/661, 6981/2755 is
LCM of Numerators i.e. for 58,6981 is 404898
GCF of denominators i.e. for 661,2755 is 1.
Thus, LCM of Fractions is 404898.Finally, LCM of Fractions for 58/661, 6981/2755 is 404898.