Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/18, 66/22, 40/33 quickly i.e. 88440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/18, 66/22, 40/33 is 88440.
LCM(67/18, 66/22, 40/33) = 88440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/18,66/22,40/33
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 67,66,40
Least Common Multiple of Numerators i.e. LCM of 67,66,40 is 88440.
GCF of Denominators means GCF of 18,22,33 as per the given fractions.
GCF of 18,22,33 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,66,40
2 | 67, 66, 40 |
67, 33, 20 |
∴ So the LCM of the given numbers is 2 x 67 x 33 x 20 = 88440
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 67,66,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,66,40) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(67,66,40) x common factors =1 x 2 = 2
LCM(67,66,40) = ( 67 × 66 × 40 ) / 2
LCM(67,66,40) = 176880 / 2
LCM(67,66,40) = 88440
Lets's calculate GCF of 18,22,33
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88440/1
Therefore the LCM of Fractions 67/18,66/22,40/33 is 88440
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Greatest Common Factor
We found the factors 18,22,33 . The biggest common factor number is the GCF number.
So the greatest common factor 18,22,33 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 67/18, 66/22, 40/33?
Answer: LCM of Numerators as per given numbers 67/18, 66/22, 40/33 is
LCM of Numerators i.e. for 67,66,40 is 88440
GCF of denominators i.e. for 18,22,33 is 1.
Thus, LCM of Fractions is 88440.Finally, LCM of Fractions for 67/18, 66/22, 40/33 is 88440.