Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 590/811, 9764/811 quickly i.e. 2880380/811 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 590/811, 9764/811 is 2880380/811.
LCM(590/811, 9764/811) = 2880380/811
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 590/811,9764/811
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 590,9764
Least Common Multiple of Numerators i.e. LCM of 590,9764 is 2880380.
GCF of Denominators means GCF of 811,811 as per the given fractions.
GCF of 811,811 is 811 as it is the largest common factor for these numbers.
Lets's calculate LCM of 590,9764
2 | 590, 9764 |
295, 4882 |
∴ So the LCM of the given numbers is 2 x 295 x 4882 = 2880380
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 590,9764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,9764) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(590,9764) x common factors =2 x 1 = 2
LCM(590,9764) = ( 590 × 9764 ) / 2
LCM(590,9764) = 5760760 / 2
LCM(590,9764) = 2880380
Lets's calculate GCF of 811,811
811 | 811, 811 |
1, 1 |
∴ So the GCF of the given numbers is 811 = 811
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2880380/811
Therefore the LCM of Fractions 590/811,9764/811 is 2880380/811
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Greatest Common Factor
We found the factors 811,811 . The biggest common factor number is the GCF number.
So the greatest common factor 811,811 is 811.
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 590/811, 9764/811?
Answer: LCM of Numerators as per given numbers 590/811, 9764/811 is
LCM of Numerators i.e. for 590,9764 is 2880380
GCF of denominators i.e. for 811,811 is 811.
Thus, LCM of Fractions is 2880380/811.Finally, LCM of Fractions for 590/811, 9764/811 is 2880380/811.