Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 793/337, 716/904, 528/805 quickly i.e. 74948016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 793/337, 716/904, 528/805 is 74948016.
LCM(793/337, 716/904, 528/805) = 74948016
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 793/337,716/904,528/805
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 793,716,528
Least Common Multiple of Numerators i.e. LCM of 793,716,528 is 74948016.
GCF of Denominators means GCF of 337,904,805 as per the given fractions.
GCF of 337,904,805 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 793,716,528
2 | 793, 716, 528 |
2 | 793, 358, 264 |
793, 179, 132 |
∴ So the LCM of the given numbers is 2 x 2 x 793 x 179 x 132 = 74948016
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 793,716,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(793,716,528) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(793,716,528) x common factors =1 x 4 = 4
LCM(793,716,528) = ( 793 × 716 × 528 ) / 4
LCM(793,716,528) = 299792064 / 4
LCM(793,716,528) = 74948016
Lets's calculate GCF of 337,904,805
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74948016/1
Therefore the LCM of Fractions 793/337,716/904,528/805 is 74948016
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Factors of 904
List of positive integer factors of 904 that divides 904 without a remainder.
1,2,4,8,113,226,452,904
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Greatest Common Factor
We found the factors 337,904,805 . The biggest common factor number is the GCF number.
So the greatest common factor 337,904,805 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 793/337, 716/904, 528/805?
Answer: LCM of Numerators as per given numbers 793/337, 716/904, 528/805 is
LCM of Numerators i.e. for 793,716,528 is 74948016
GCF of denominators i.e. for 337,904,805 is 1.
Thus, LCM of Fractions is 74948016.Finally, LCM of Fractions for 793/337, 716/904, 528/805 is 74948016.