Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4461/198, 1833/5662 quickly i.e. 2725671/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4461/198, 1833/5662 is 2725671/2.
LCM(4461/198, 1833/5662) = 2725671/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4461/198,1833/5662
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 4461,1833
Least Common Multiple of Numerators i.e. LCM of 4461,1833 is 2725671.
GCF of Denominators means GCF of 198,5662 as per the given fractions.
GCF of 198,5662 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4461,1833
3 | 4461, 1833 |
1487, 611 |
∴ So the LCM of the given numbers is 3 x 1487 x 611 = 2725671
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 4461,1833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4461,1833) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(4461,1833) x common factors =3 x 1 = 3
LCM(4461,1833) = ( 4461 × 1833 ) / 3
LCM(4461,1833) = 8177013 / 3
LCM(4461,1833) = 2725671
Lets's calculate GCF of 198,5662
2 | 198, 5662 |
99, 2831 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2725671/2
Therefore the LCM of Fractions 4461/198,1833/5662 is 2725671/2
Factors of 198
List of positive integer factors of 198 that divides 198 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,198
Factors of 5662
List of positive integer factors of 5662 that divides 5662 without a remainder.
1,2,19,38,149,298,2831,5662
Greatest Common Factor
We found the factors 198,5662 . The biggest common factor number is the GCF number.
So the greatest common factor 198,5662 is 2.
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 4461/198, 1833/5662?
Answer: LCM of Numerators as per given numbers 4461/198, 1833/5662 is
LCM of Numerators i.e. for 4461,1833 is 2725671
GCF of denominators i.e. for 198,5662 is 2.
Thus, LCM of Fractions is 2725671/2.Finally, LCM of Fractions for 4461/198, 1833/5662 is 2725671/2.