Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/314, 314/789, 899/406 quickly i.e. 6492578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/314, 314/789, 899/406 is 6492578.
LCM(23/314, 314/789, 899/406) = 6492578
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/314,314/789,899/406
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 23,314,899
Least Common Multiple of Numerators i.e. LCM of 23,314,899 is 6492578.
GCF of Denominators means GCF of 314,789,406 as per the given fractions.
GCF of 314,789,406 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,314,899
Given numbers has no common factors except 1. So, there LCM is their product i.e 6492578
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 23,314,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,314,899) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,314,899) x common factors =1 x 1 = 1
LCM(23,314,899) = ( 23 × 314 × 899 ) / 1
LCM(23,314,899) = 6492578 / 1
LCM(23,314,899) = 6492578
Lets's calculate GCF of 314,789,406
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6492578/1
Therefore the LCM of Fractions 23/314,314/789,899/406 is 6492578
Factors of 314
List of positive integer factors of 314 that divides 314 without a remainder.
1,2,157,314
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Factors of 406
List of positive integer factors of 406 that divides 406 without a remainder.
1,2,7,14,29,58,203,406
Greatest Common Factor
We found the factors 314,789,406 . The biggest common factor number is the GCF number.
So the greatest common factor 314,789,406 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 23/314, 314/789, 899/406?
Answer: LCM of Numerators as per given numbers 23/314, 314/789, 899/406 is
LCM of Numerators i.e. for 23,314,899 is 6492578
GCF of denominators i.e. for 314,789,406 is 1.
Thus, LCM of Fractions is 6492578.Finally, LCM of Fractions for 23/314, 314/789, 899/406 is 6492578.