Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3661/558, 7962/5885 quickly i.e. 29148882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3661/558, 7962/5885 is 29148882.
LCM(3661/558, 7962/5885) = 29148882
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3661/558,7962/5885
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 3661,7962
Least Common Multiple of Numerators i.e. LCM of 3661,7962 is 29148882.
GCF of Denominators means GCF of 558,5885 as per the given fractions.
GCF of 558,5885 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3661,7962
Given numbers has no common factors except 1. So, there LCM is their product i.e 29148882
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 3661,7962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3661,7962) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3661,7962) x common factors =1 x 1 = 1
LCM(3661,7962) = ( 3661 × 7962 ) / 1
LCM(3661,7962) = 29148882 / 1
LCM(3661,7962) = 29148882
Lets's calculate GCF of 558,5885
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29148882/1
Therefore the LCM of Fractions 3661/558,7962/5885 is 29148882
Factors of 558
List of positive integer factors of 558 that divides 558 without a remainder.
1,2,3,6,9,18,31,62,93,186,279,558
Factors of 5885
List of positive integer factors of 5885 that divides 5885 without a remainder.
1,5,11,55,107,535,1177,5885
Greatest Common Factor
We found the factors 558,5885 . The biggest common factor number is the GCF number.
So the greatest common factor 558,5885 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 3661/558, 7962/5885?
Answer: LCM of Numerators as per given numbers 3661/558, 7962/5885 is
LCM of Numerators i.e. for 3661,7962 is 29148882
GCF of denominators i.e. for 558,5885 is 1.
Thus, LCM of Fractions is 29148882.Finally, LCM of Fractions for 3661/558, 7962/5885 is 29148882.