Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 671/1, 33/44 quickly i.e. 2013 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 671/1, 33/44 is 2013.
LCM(671/1, 33/44) = 2013
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 671/1,33/44
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 671,33
Least Common Multiple of Numerators i.e. LCM of 671,33 is 2013.
GCF of Denominators means GCF of 1,44 as per the given fractions.
GCF of 1,44 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 671,33
11 | 671, 33 |
61, 3 |
∴ So the LCM of the given numbers is 11 x 61 x 3 = 2013
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 671,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(671,33) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(671,33) x common factors =11 x 1 = 11
LCM(671,33) = ( 671 × 33 ) / 11
LCM(671,33) = 22143 / 11
LCM(671,33) = 2013
Lets's calculate GCF of 1,44
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2013/1
Therefore the LCM of Fractions 671/1,33/44 is 2013
Factors of 1
List of positive integer factors of 1 that divides 1 without a remainder.
1
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Greatest Common Factor
We found the factors 1,44 . The biggest common factor number is the GCF number.
So the greatest common factor 1,44 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 671/1, 33/44?
Answer: LCM of Numerators as per given numbers 671/1, 33/44 is
LCM of Numerators i.e. for 671,33 is 2013
GCF of denominators i.e. for 1,44 is 1.
Thus, LCM of Fractions is 2013.Finally, LCM of Fractions for 671/1, 33/44 is 2013.