Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 963/838, 563/321, 933/363 quickly i.e. 168614559 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 963/838, 563/321, 933/363 is 168614559.
LCM(963/838, 563/321, 933/363) = 168614559
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 963/838,563/321,933/363
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 963,563,933
Least Common Multiple of Numerators i.e. LCM of 963,563,933 is 168614559.
GCF of Denominators means GCF of 838,321,363 as per the given fractions.
GCF of 838,321,363 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 963,563,933
3 | 963, 563, 933 |
321, 563, 311 |
∴ So the LCM of the given numbers is 3 x 321 x 563 x 311 = 168614559
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 963,563,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(963,563,933) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(963,563,933) x common factors =1 x 3 = 3
LCM(963,563,933) = ( 963 × 563 × 933 ) / 3
LCM(963,563,933) = 505843677 / 3
LCM(963,563,933) = 168614559
Lets's calculate GCF of 838,321,363
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168614559/1
Therefore the LCM of Fractions 963/838,563/321,933/363 is 168614559
Factors of 838
List of positive integer factors of 838 that divides 838 without a remainder.
1,2,419,838
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1,3,11,33,121,363
Greatest Common Factor
We found the factors 838,321,363 . The biggest common factor number is the GCF number.
So the greatest common factor 838,321,363 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 963/838, 563/321, 933/363?
Answer: LCM of Numerators as per given numbers 963/838, 563/321, 933/363 is
LCM of Numerators i.e. for 963,563,933 is 168614559
GCF of denominators i.e. for 838,321,363 is 1.
Thus, LCM of Fractions is 168614559.Finally, LCM of Fractions for 963/838, 563/321, 933/363 is 168614559.