Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 590/81, 808/9051 quickly i.e. 238360/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 590/81, 808/9051 is 238360/3.
LCM(590/81, 808/9051) = 238360/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 590/81,808/9051
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 590,808
Least Common Multiple of Numerators i.e. LCM of 590,808 is 238360.
GCF of Denominators means GCF of 81,9051 as per the given fractions.
GCF of 81,9051 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 590,808
2 | 590, 808 |
295, 404 |
∴ So the LCM of the given numbers is 2 x 295 x 404 = 238360
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 590,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,808) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(590,808) x common factors =2 x 1 = 2
LCM(590,808) = ( 590 × 808 ) / 2
LCM(590,808) = 476720 / 2
LCM(590,808) = 238360
Lets's calculate GCF of 81,9051
3 | 81, 9051 |
27, 3017 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238360/3
Therefore the LCM of Fractions 590/81,808/9051 is 238360/3
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 9051
List of positive integer factors of 9051 that divides 9051 without a remainder.
1,3,7,21,431,1293,3017,9051
Greatest Common Factor
We found the factors 81,9051 . The biggest common factor number is the GCF number.
So the greatest common factor 81,9051 is 3.
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 590/81, 808/9051?
Answer: LCM of Numerators as per given numbers 590/81, 808/9051 is
LCM of Numerators i.e. for 590,808 is 238360
GCF of denominators i.e. for 81,9051 is 3.
Thus, LCM of Fractions is 238360/3.Finally, LCM of Fractions for 590/81, 808/9051 is 238360/3.