Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/66, 85/20, 206/41 quickly i.e. 1628430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/66, 85/20, 206/41 is 1628430.
LCM(93/66, 85/20, 206/41) = 1628430
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/66,85/20,206/41
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 93,85,206
Least Common Multiple of Numerators i.e. LCM of 93,85,206 is 1628430.
GCF of Denominators means GCF of 66,20,41 as per the given fractions.
GCF of 66,20,41 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,85,206
Given numbers has no common factors except 1. So, there LCM is their product i.e 1628430
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 93,85,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,85,206) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,85,206) x common factors =1 x 1 = 1
LCM(93,85,206) = ( 93 × 85 × 206 ) / 1
LCM(93,85,206) = 1628430 / 1
LCM(93,85,206) = 1628430
Lets's calculate GCF of 66,20,41
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1628430/1
Therefore the LCM of Fractions 93/66,85/20,206/41 is 1628430
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Greatest Common Factor
We found the factors 66,20,41 . The biggest common factor number is the GCF number.
So the greatest common factor 66,20,41 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 93/66, 85/20, 206/41?
Answer: LCM of Numerators as per given numbers 93/66, 85/20, 206/41 is
LCM of Numerators i.e. for 93,85,206 is 1628430
GCF of denominators i.e. for 66,20,41 is 1.
Thus, LCM of Fractions is 1628430.Finally, LCM of Fractions for 93/66, 85/20, 206/41 is 1628430.