Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/452, 223/175, 809/857 quickly i.e. 2525698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 14/452, 223/175, 809/857 is 2525698.
LCM(14/452, 223/175, 809/857) = 2525698
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/452,223/175,809/857
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 14,223,809
Least Common Multiple of Numerators i.e. LCM of 14,223,809 is 2525698.
GCF of Denominators means GCF of 452,175,857 as per the given fractions.
GCF of 452,175,857 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,223,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 2525698
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 14,223,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,223,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,223,809) x common factors =1 x 1 = 1
LCM(14,223,809) = ( 14 × 223 × 809 ) / 1
LCM(14,223,809) = 2525698 / 1
LCM(14,223,809) = 2525698
Lets's calculate GCF of 452,175,857
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2525698/1
Therefore the LCM of Fractions 14/452,223/175,809/857 is 2525698
Factors of 452
List of positive integer factors of 452 that divides 452 without a remainder.
1,2,4,113,226,452
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Factors of 857
List of positive integer factors of 857 that divides 857 without a remainder.
1,857
Greatest Common Factor
We found the factors 452,175,857 . The biggest common factor number is the GCF number.
So the greatest common factor 452,175,857 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 14/452, 223/175, 809/857?
Answer: LCM of Numerators as per given numbers 14/452, 223/175, 809/857 is
LCM of Numerators i.e. for 14,223,809 is 2525698
GCF of denominators i.e. for 452,175,857 is 1.
Thus, LCM of Fractions is 2525698.Finally, LCM of Fractions for 14/452, 223/175, 809/857 is 2525698.