Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/681, 1855/5631 quickly i.e. 107590/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/681, 1855/5631 is 107590/3.
LCM(58/681, 1855/5631) = 107590/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/681,1855/5631
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 58,1855
Least Common Multiple of Numerators i.e. LCM of 58,1855 is 107590.
GCF of Denominators means GCF of 681,5631 as per the given fractions.
GCF of 681,5631 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,1855
Given numbers has no common factors except 1. So, there LCM is their product i.e 107590
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 58,1855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,1855) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,1855) x common factors =1 x 1 = 1
LCM(58,1855) = ( 58 × 1855 ) / 1
LCM(58,1855) = 107590 / 1
LCM(58,1855) = 107590
Lets's calculate GCF of 681,5631
3 | 681, 5631 |
227, 1877 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107590/3
Therefore the LCM of Fractions 58/681,1855/5631 is 107590/3
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1,3,227,681
Factors of 5631
List of positive integer factors of 5631 that divides 5631 without a remainder.
1,3,1877,5631
Greatest Common Factor
We found the factors 681,5631 . The biggest common factor number is the GCF number.
So the greatest common factor 681,5631 is 3.
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 58/681, 1855/5631?
Answer: LCM of Numerators as per given numbers 58/681, 1855/5631 is
LCM of Numerators i.e. for 58,1855 is 107590
GCF of denominators i.e. for 681,5631 is 3.
Thus, LCM of Fractions is 107590/3.Finally, LCM of Fractions for 58/681, 1855/5631 is 107590/3.