Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/811, 96/169, 401/729 quickly i.e. 1193376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/811, 96/169, 401/729 is 1193376.
LCM(31/811, 96/169, 401/729) = 1193376
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/811,96/169,401/729
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 31,96,401
Least Common Multiple of Numerators i.e. LCM of 31,96,401 is 1193376.
GCF of Denominators means GCF of 811,169,729 as per the given fractions.
GCF of 811,169,729 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,96,401
Given numbers has no common factors except 1. So, there LCM is their product i.e 1193376
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 31,96,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,96,401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,96,401) x common factors =1 x 1 = 1
LCM(31,96,401) = ( 31 × 96 × 401 ) / 1
LCM(31,96,401) = 1193376 / 1
LCM(31,96,401) = 1193376
Lets's calculate GCF of 811,169,729
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1193376/1
Therefore the LCM of Fractions 31/811,96/169,401/729 is 1193376
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Factors of 169
List of positive integer factors of 169 that divides 169 without a remainder.
1,13,169
Factors of 729
List of positive integer factors of 729 that divides 729 without a remainder.
1,3,9,27,81,243,729
Greatest Common Factor
We found the factors 811,169,729 . The biggest common factor number is the GCF number.
So the greatest common factor 811,169,729 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 31/811, 96/169, 401/729?
Answer: LCM of Numerators as per given numbers 31/811, 96/169, 401/729 is
LCM of Numerators i.e. for 31,96,401 is 1193376
GCF of denominators i.e. for 811,169,729 is 1.
Thus, LCM of Fractions is 1193376.Finally, LCM of Fractions for 31/811, 96/169, 401/729 is 1193376.