Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1882/363, 1339/9483 quickly i.e. 2519998/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1882/363, 1339/9483 is 2519998/3.
LCM(1882/363, 1339/9483) = 2519998/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1882/363,1339/9483
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 1882,1339
Least Common Multiple of Numerators i.e. LCM of 1882,1339 is 2519998.
GCF of Denominators means GCF of 363,9483 as per the given fractions.
GCF of 363,9483 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1882,1339
Given numbers has no common factors except 1. So, there LCM is their product i.e 2519998
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 1882,1339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1882,1339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1882,1339) x common factors =1 x 1 = 1
LCM(1882,1339) = ( 1882 × 1339 ) / 1
LCM(1882,1339) = 2519998 / 1
LCM(1882,1339) = 2519998
Lets's calculate GCF of 363,9483
3 | 363, 9483 |
121, 3161 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2519998/3
Therefore the LCM of Fractions 1882/363,1339/9483 is 2519998/3
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1,3,11,33,121,363
Factors of 9483
List of positive integer factors of 9483 that divides 9483 without a remainder.
1,3,29,87,109,327,3161,9483
Greatest Common Factor
We found the factors 363,9483 . The biggest common factor number is the GCF number.
So the greatest common factor 363,9483 is 3.
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 1882/363, 1339/9483?
Answer: LCM of Numerators as per given numbers 1882/363, 1339/9483 is
LCM of Numerators i.e. for 1882,1339 is 2519998
GCF of denominators i.e. for 363,9483 is 3.
Thus, LCM of Fractions is 2519998/3.Finally, LCM of Fractions for 1882/363, 1339/9483 is 2519998/3.