Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5558/416, 2991/3611 quickly i.e. 16623978 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5558/416, 2991/3611 is 16623978.
LCM(5558/416, 2991/3611) = 16623978
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5558/416,2991/3611
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 5558,2991
Least Common Multiple of Numerators i.e. LCM of 5558,2991 is 16623978.
GCF of Denominators means GCF of 416,3611 as per the given fractions.
GCF of 416,3611 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5558,2991
Given numbers has no common factors except 1. So, there LCM is their product i.e 16623978
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 5558,2991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5558,2991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5558,2991) x common factors =1 x 1 = 1
LCM(5558,2991) = ( 5558 × 2991 ) / 1
LCM(5558,2991) = 16623978 / 1
LCM(5558,2991) = 16623978
Lets's calculate GCF of 416,3611
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16623978/1
Therefore the LCM of Fractions 5558/416,2991/3611 is 16623978
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Factors of 3611
List of positive integer factors of 3611 that divides 3611 without a remainder.
1,23,157,3611
Greatest Common Factor
We found the factors 416,3611 . The biggest common factor number is the GCF number.
So the greatest common factor 416,3611 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 5558/416, 2991/3611?
Answer: LCM of Numerators as per given numbers 5558/416, 2991/3611 is
LCM of Numerators i.e. for 5558,2991 is 16623978
GCF of denominators i.e. for 416,3611 is 1.
Thus, LCM of Fractions is 16623978.Finally, LCM of Fractions for 5558/416, 2991/3611 is 16623978.