Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1333/206, 2001/2136 quickly i.e. 2667333/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1333/206, 2001/2136 is 2667333/2.
LCM(1333/206, 2001/2136) = 2667333/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1333/206,2001/2136
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 1333,2001
Least Common Multiple of Numerators i.e. LCM of 1333,2001 is 2667333.
GCF of Denominators means GCF of 206,2136 as per the given fractions.
GCF of 206,2136 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1333,2001
Given numbers has no common factors except 1. So, there LCM is their product i.e 2667333
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 1333,2001 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1333,2001) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1333,2001) x common factors =1 x 1 = 1
LCM(1333,2001) = ( 1333 × 2001 ) / 1
LCM(1333,2001) = 2667333 / 1
LCM(1333,2001) = 2667333
Lets's calculate GCF of 206,2136
2 | 206, 2136 |
103, 1068 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2667333/2
Therefore the LCM of Fractions 1333/206,2001/2136 is 2667333/2
Factors of 206
List of positive integer factors of 206 that divides 206 without a remainder.
1,2,103,206
Factors of 2136
List of positive integer factors of 2136 that divides 2136 without a remainder.
1,2,3,4,6,8,12,24,89,178,267,356,534,712,1068,2136
Greatest Common Factor
We found the factors 206,2136 . The biggest common factor number is the GCF number.
So the greatest common factor 206,2136 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 1333/206, 2001/2136?
Answer: LCM of Numerators as per given numbers 1333/206, 2001/2136 is
LCM of Numerators i.e. for 1333,2001 is 2667333
GCF of denominators i.e. for 206,2136 is 2.
Thus, LCM of Fractions is 2667333/2.Finally, LCM of Fractions for 1333/206, 2001/2136 is 2667333/2.