Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/363, 3316/1531 quickly i.e. 109428 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/363, 3316/1531 is 109428.
LCM(33/363, 3316/1531) = 109428
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/363,3316/1531
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 33,3316
Least Common Multiple of Numerators i.e. LCM of 33,3316 is 109428.
GCF of Denominators means GCF of 363,1531 as per the given fractions.
GCF of 363,1531 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,3316
Given numbers has no common factors except 1. So, there LCM is their product i.e 109428
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 33,3316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,3316) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,3316) x common factors =1 x 1 = 1
LCM(33,3316) = ( 33 × 3316 ) / 1
LCM(33,3316) = 109428 / 1
LCM(33,3316) = 109428
Lets's calculate GCF of 363,1531
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109428/1
Therefore the LCM of Fractions 33/363,3316/1531 is 109428
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1,3,11,33,121,363
Factors of 1531
List of positive integer factors of 1531 that divides 1531 without a remainder.
1,1531
Greatest Common Factor
We found the factors 363,1531 . The biggest common factor number is the GCF number.
So the greatest common factor 363,1531 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 33/363, 3316/1531?
Answer: LCM of Numerators as per given numbers 33/363, 3316/1531 is
LCM of Numerators i.e. for 33,3316 is 109428
GCF of denominators i.e. for 363,1531 is 1.
Thus, LCM of Fractions is 109428.Finally, LCM of Fractions for 33/363, 3316/1531 is 109428.