Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/27, 31/31, 454/809 quickly i.e. 323702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/27, 31/31, 454/809 is 323702.
LCM(23/27, 31/31, 454/809) = 323702
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/27,31/31,454/809
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 23,31,454
Least Common Multiple of Numerators i.e. LCM of 23,31,454 is 323702.
GCF of Denominators means GCF of 27,31,809 as per the given fractions.
GCF of 27,31,809 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,31,454
Given numbers has no common factors except 1. So, there LCM is their product i.e 323702
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 23,31,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,31,454) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,31,454) x common factors =1 x 1 = 1
LCM(23,31,454) = ( 23 × 31 × 454 ) / 1
LCM(23,31,454) = 323702 / 1
LCM(23,31,454) = 323702
Lets's calculate GCF of 27,31,809
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 323702/1
Therefore the LCM of Fractions 23/27,31/31,454/809 is 323702
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 809
List of positive integer factors of 809 that divides 809 without a remainder.
1,809
Greatest Common Factor
We found the factors 27,31,809 . The biggest common factor number is the GCF number.
So the greatest common factor 27,31,809 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 23/27, 31/31, 454/809?
Answer: LCM of Numerators as per given numbers 23/27, 31/31, 454/809 is
LCM of Numerators i.e. for 23,31,454 is 323702
GCF of denominators i.e. for 27,31,809 is 1.
Thus, LCM of Fractions is 323702.Finally, LCM of Fractions for 23/27, 31/31, 454/809 is 323702.