Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/935, 64/729, 805/344 quickly i.e. 2112320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/935, 64/729, 805/344 is 2112320.
LCM(41/935, 64/729, 805/344) = 2112320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/935,64/729,805/344
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 41,64,805
Least Common Multiple of Numerators i.e. LCM of 41,64,805 is 2112320.
GCF of Denominators means GCF of 935,729,344 as per the given fractions.
GCF of 935,729,344 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,64,805
Given numbers has no common factors except 1. So, there LCM is their product i.e 2112320
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 41,64,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,64,805) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,64,805) x common factors =1 x 1 = 1
LCM(41,64,805) = ( 41 × 64 × 805 ) / 1
LCM(41,64,805) = 2112320 / 1
LCM(41,64,805) = 2112320
Lets's calculate GCF of 935,729,344
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2112320/1
Therefore the LCM of Fractions 41/935,64/729,805/344 is 2112320
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 729
List of positive integer factors of 729 that divides 729 without a remainder.
1,3,9,27,81,243,729
Factors of 344
List of positive integer factors of 344 that divides 344 without a remainder.
1,2,4,8,43,86,172,344
Greatest Common Factor
We found the factors 935,729,344 . The biggest common factor number is the GCF number.
So the greatest common factor 935,729,344 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 41/935, 64/729, 805/344?
Answer: LCM of Numerators as per given numbers 41/935, 64/729, 805/344 is
LCM of Numerators i.e. for 41,64,805 is 2112320
GCF of denominators i.e. for 935,729,344 is 1.
Thus, LCM of Fractions is 2112320.Finally, LCM of Fractions for 41/935, 64/729, 805/344 is 2112320.