Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 118/33, 438/6621 quickly i.e. 8614 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 118/33, 438/6621 is 8614.
LCM(118/33, 438/6621) = 8614
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 118/33,438/6621
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 118,438
Least Common Multiple of Numerators i.e. LCM of 118,438 is 25842.
GCF of Denominators means GCF of 33,6621 as per the given fractions.
GCF of 33,6621 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 118,438
2 | 118, 438 |
59, 219 |
∴ So the LCM of the given numbers is 2 x 59 x 219 = 25842
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 118,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,438) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(118,438) x common factors =2 x 1 = 2
LCM(118,438) = ( 118 × 438 ) / 2
LCM(118,438) = 51684 / 2
LCM(118,438) = 25842
Lets's calculate GCF of 33,6621
3 | 33, 6621 |
11, 2207 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25842/3
Therefore the LCM of Fractions 118/33,438/6621 is 8614
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 6621
List of positive integer factors of 6621 that divides 6621 without a remainder.
1,3,2207,6621
Greatest Common Factor
We found the factors 33,6621 . The biggest common factor number is the GCF number.
So the greatest common factor 33,6621 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 118/33, 438/6621?
Answer: LCM of Numerators as per given numbers 118/33, 438/6621 is
LCM of Numerators i.e. for 118,438 is 25842
GCF of denominators i.e. for 33,6621 is 3.
Thus, LCM of Fractions is 8614.Finally, LCM of Fractions for 118/33, 438/6621 is 8614.