Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/244, 4046/3663 quickly i.e. 89012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/244, 4046/3663 is 89012.
LCM(44/244, 4046/3663) = 89012
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/244,4046/3663
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 44,4046
Least Common Multiple of Numerators i.e. LCM of 44,4046 is 89012.
GCF of Denominators means GCF of 244,3663 as per the given fractions.
GCF of 244,3663 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,4046
2 | 44, 4046 |
22, 2023 |
∴ So the LCM of the given numbers is 2 x 22 x 2023 = 89012
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 44,4046 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,4046) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(44,4046) x common factors =2 x 1 = 2
LCM(44,4046) = ( 44 × 4046 ) / 2
LCM(44,4046) = 178024 / 2
LCM(44,4046) = 89012
Lets's calculate GCF of 244,3663
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89012/1
Therefore the LCM of Fractions 44/244,4046/3663 is 89012
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Factors of 3663
List of positive integer factors of 3663 that divides 3663 without a remainder.
1,3,9,11,33,37,99,111,333,407,1221,3663
Greatest Common Factor
We found the factors 244,3663 . The biggest common factor number is the GCF number.
So the greatest common factor 244,3663 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 44/244, 4046/3663?
Answer: LCM of Numerators as per given numbers 44/244, 4046/3663 is
LCM of Numerators i.e. for 44,4046 is 89012
GCF of denominators i.e. for 244,3663 is 1.
Thus, LCM of Fractions is 89012.Finally, LCM of Fractions for 44/244, 4046/3663 is 89012.