Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/62, 44/43, 844/992 quickly i.e. 27852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/62, 44/43, 844/992 is 27852.
LCM(33/62, 44/43, 844/992) = 27852
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/62,44/43,844/992
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 33,44,844
Least Common Multiple of Numerators i.e. LCM of 33,44,844 is 27852.
GCF of Denominators means GCF of 62,43,992 as per the given fractions.
GCF of 62,43,992 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,44,844
2 | 33, 44, 844 |
2 | 33, 22, 422 |
11 | 33, 11, 211 |
3, 1, 211 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 3 x 1 x 211 = 27852
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 33,44,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,44,844) = 1
common factors(in case of two or more numbers have common factors) = 44
GCF(33,44,844) x common factors =1 x 44 = 44
LCM(33,44,844) = ( 33 × 44 × 844 ) / 44
LCM(33,44,844) = 1225488 / 44
LCM(33,44,844) = 27852
Lets's calculate GCF of 62,43,992
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27852/1
Therefore the LCM of Fractions 33/62,44/43,844/992 is 27852
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Greatest Common Factor
We found the factors 62,43,992 . The biggest common factor number is the GCF number.
So the greatest common factor 62,43,992 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 33/62, 44/43, 844/992?
Answer: LCM of Numerators as per given numbers 33/62, 44/43, 844/992 is
LCM of Numerators i.e. for 33,44,844 is 27852
GCF of denominators i.e. for 62,43,992 is 1.
Thus, LCM of Fractions is 27852.Finally, LCM of Fractions for 33/62, 44/43, 844/992 is 27852.