Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/389, 3244/3414 quickly i.e. 35684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/389, 3244/3414 is 35684.
LCM(44/389, 3244/3414) = 35684
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/389,3244/3414
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 44,3244
Least Common Multiple of Numerators i.e. LCM of 44,3244 is 35684.
GCF of Denominators means GCF of 389,3414 as per the given fractions.
GCF of 389,3414 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,3244
2 | 44, 3244 |
2 | 22, 1622 |
11, 811 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 811 = 35684
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 44,3244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,3244) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(44,3244) x common factors =4 x 1 = 4
LCM(44,3244) = ( 44 × 3244 ) / 4
LCM(44,3244) = 142736 / 4
LCM(44,3244) = 35684
Lets's calculate GCF of 389,3414
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35684/1
Therefore the LCM of Fractions 44/389,3244/3414 is 35684
Factors of 389
List of positive integer factors of 389 that divides 389 without a remainder.
1,389
Factors of 3414
List of positive integer factors of 3414 that divides 3414 without a remainder.
1,2,3,6,569,1138,1707,3414
Greatest Common Factor
We found the factors 389,3414 . The biggest common factor number is the GCF number.
So the greatest common factor 389,3414 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 44/389, 3244/3414?
Answer: LCM of Numerators as per given numbers 44/389, 3244/3414 is
LCM of Numerators i.e. for 44,3244 is 35684
GCF of denominators i.e. for 389,3414 is 1.
Thus, LCM of Fractions is 35684.Finally, LCM of Fractions for 44/389, 3244/3414 is 35684.