Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 341/32, 107/36, 279/591 quickly i.e. 328383 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 341/32, 107/36, 279/591 is 328383.
LCM(341/32, 107/36, 279/591) = 328383
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 341/32,107/36,279/591
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 341,107,279
Least Common Multiple of Numerators i.e. LCM of 341,107,279 is 328383.
GCF of Denominators means GCF of 32,36,591 as per the given fractions.
GCF of 32,36,591 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 341,107,279
31 | 341, 107, 279 |
11, 107, 9 |
∴ So the LCM of the given numbers is 31 x 11 x 107 x 9 = 328383
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 341,107,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(341,107,279) = 1
common factors(in case of two or more numbers have common factors) = 31
GCF(341,107,279) x common factors =1 x 31 = 31
LCM(341,107,279) = ( 341 × 107 × 279 ) / 31
LCM(341,107,279) = 10179873 / 31
LCM(341,107,279) = 328383
Lets's calculate GCF of 32,36,591
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 328383/1
Therefore the LCM of Fractions 341/32,107/36,279/591 is 328383
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1,3,197,591
Greatest Common Factor
We found the factors 32,36,591 . The biggest common factor number is the GCF number.
So the greatest common factor 32,36,591 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 341/32, 107/36, 279/591?
Answer: LCM of Numerators as per given numbers 341/32, 107/36, 279/591 is
LCM of Numerators i.e. for 341,107,279 is 328383
GCF of denominators i.e. for 32,36,591 is 1.
Thus, LCM of Fractions is 328383.Finally, LCM of Fractions for 341/32, 107/36, 279/591 is 328383.