Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/8, 67/40, 33/46 quickly i.e. 2211/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/8, 67/40, 33/46 is 2211/2.
LCM(67/8, 67/40, 33/46) = 2211/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/8,67/40,33/46
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 67,67,33
Least Common Multiple of Numerators i.e. LCM of 67,67,33 is 2211.
GCF of Denominators means GCF of 8,40,46 as per the given fractions.
GCF of 8,40,46 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,67,33
67 | 67, 67, 33 |
1, 1, 33 |
∴ So the LCM of the given numbers is 67 x 1 x 1 x 33 = 2211
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 67,67,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,67,33) = 1
common factors(in case of two or more numbers have common factors) = 67
GCF(67,67,33) x common factors =1 x 67 = 67
LCM(67,67,33) = ( 67 × 67 × 33 ) / 67
LCM(67,67,33) = 148137 / 67
LCM(67,67,33) = 2211
Lets's calculate GCF of 8,40,46
2 | 8, 40, 46 |
4, 20, 23 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2211/2
Therefore the LCM of Fractions 67/8,67/40,33/46 is 2211/2
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Greatest Common Factor
We found the factors 8,40,46 . The biggest common factor number is the GCF number.
So the greatest common factor 8,40,46 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 67/8, 67/40, 33/46?
Answer: LCM of Numerators as per given numbers 67/8, 67/40, 33/46 is
LCM of Numerators i.e. for 67,67,33 is 2211
GCF of denominators i.e. for 8,40,46 is 2.
Thus, LCM of Fractions is 2211/2.Finally, LCM of Fractions for 67/8, 67/40, 33/46 is 2211/2.