Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 206/16, 884/3366 quickly i.e. 45526 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 206/16, 884/3366 is 45526.
LCM(206/16, 884/3366) = 45526
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 206/16,884/3366
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 206,884
Least Common Multiple of Numerators i.e. LCM of 206,884 is 91052.
GCF of Denominators means GCF of 16,3366 as per the given fractions.
GCF of 16,3366 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 206,884
2 | 206, 884 |
103, 442 |
∴ So the LCM of the given numbers is 2 x 103 x 442 = 91052
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 206,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,884) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,884) x common factors =2 x 1 = 2
LCM(206,884) = ( 206 × 884 ) / 2
LCM(206,884) = 182104 / 2
LCM(206,884) = 91052
Lets's calculate GCF of 16,3366
2 | 16, 3366 |
8, 1683 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91052/2
Therefore the LCM of Fractions 206/16,884/3366 is 45526
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 3366
List of positive integer factors of 3366 that divides 3366 without a remainder.
1,2,3,6,9,11,17,18,22,33,34,51,66,99,102,153,187,198,306,374,561,1122,1683,3366
Greatest Common Factor
We found the factors 16,3366 . The biggest common factor number is the GCF number.
So the greatest common factor 16,3366 is 2.
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 206/16, 884/3366?
Answer: LCM of Numerators as per given numbers 206/16, 884/3366 is
LCM of Numerators i.e. for 206,884 is 91052
GCF of denominators i.e. for 16,3366 is 2.
Thus, LCM of Fractions is 45526.Finally, LCM of Fractions for 206/16, 884/3366 is 45526.