Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/33, 27/68, 805/80 quickly i.e. 804195 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/33, 27/68, 805/80 is 804195.
LCM(37/33, 27/68, 805/80) = 804195
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/33,27/68,805/80
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 37,27,805
Least Common Multiple of Numerators i.e. LCM of 37,27,805 is 804195.
GCF of Denominators means GCF of 33,68,80 as per the given fractions.
GCF of 33,68,80 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,27,805
Given numbers has no common factors except 1. So, there LCM is their product i.e 804195
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 37,27,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,27,805) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,27,805) x common factors =1 x 1 = 1
LCM(37,27,805) = ( 37 × 27 × 805 ) / 1
LCM(37,27,805) = 804195 / 1
LCM(37,27,805) = 804195
Lets's calculate GCF of 33,68,80
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 804195/1
Therefore the LCM of Fractions 37/33,27/68,805/80 is 804195
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Greatest Common Factor
We found the factors 33,68,80 . The biggest common factor number is the GCF number.
So the greatest common factor 33,68,80 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 37/33, 27/68, 805/80?
Answer: LCM of Numerators as per given numbers 37/33, 27/68, 805/80 is
LCM of Numerators i.e. for 37,27,805 is 804195
GCF of denominators i.e. for 33,68,80 is 1.
Thus, LCM of Fractions is 804195.Finally, LCM of Fractions for 37/33, 27/68, 805/80 is 804195.