Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 384/352, 3424/5884 quickly i.e. 10272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 384/352, 3424/5884 is 10272.
LCM(384/352, 3424/5884) = 10272
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 384/352,3424/5884
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 384,3424
Least Common Multiple of Numerators i.e. LCM of 384,3424 is 41088.
GCF of Denominators means GCF of 352,5884 as per the given fractions.
GCF of 352,5884 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 384,3424
2 | 384, 3424 |
2 | 192, 1712 |
2 | 96, 856 |
2 | 48, 428 |
2 | 24, 214 |
12, 107 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 12 x 107 = 41088
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 384,3424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,3424) = 32
common factors(in case of two or more numbers have common factors) = 1
GCF(384,3424) x common factors =32 x 1 = 32
LCM(384,3424) = ( 384 × 3424 ) / 32
LCM(384,3424) = 1314816 / 32
LCM(384,3424) = 41088
Lets's calculate GCF of 352,5884
2 | 352, 5884 |
2 | 176, 2942 |
88, 1471 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41088/4
Therefore the LCM of Fractions 384/352,3424/5884 is 10272
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Factors of 5884
List of positive integer factors of 5884 that divides 5884 without a remainder.
1,2,4,1471,2942,5884
Greatest Common Factor
We found the factors 352,5884 . The biggest common factor number is the GCF number.
So the greatest common factor 352,5884 is 4.
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 384/352, 3424/5884?
Answer: LCM of Numerators as per given numbers 384/352, 3424/5884 is
LCM of Numerators i.e. for 384,3424 is 41088
GCF of denominators i.e. for 352,5884 is 4.
Thus, LCM of Fractions is 10272.Finally, LCM of Fractions for 384/352, 3424/5884 is 10272.