Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 321/15, 451/3871 quickly i.e. 144771 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 321/15, 451/3871 is 144771.
LCM(321/15, 451/3871) = 144771
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 321/15,451/3871
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 321,451
Least Common Multiple of Numerators i.e. LCM of 321,451 is 144771.
GCF of Denominators means GCF of 15,3871 as per the given fractions.
GCF of 15,3871 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 321,451
Given numbers has no common factors except 1. So, there LCM is their product i.e 144771
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 321,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(321,451) x common factors =1 x 1 = 1
LCM(321,451) = ( 321 × 451 ) / 1
LCM(321,451) = 144771 / 1
LCM(321,451) = 144771
Lets's calculate GCF of 15,3871
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144771/1
Therefore the LCM of Fractions 321/15,451/3871 is 144771
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 3871
List of positive integer factors of 3871 that divides 3871 without a remainder.
1,7,49,79,553,3871
Greatest Common Factor
We found the factors 15,3871 . The biggest common factor number is the GCF number.
So the greatest common factor 15,3871 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 321/15, 451/3871?
Answer: LCM of Numerators as per given numbers 321/15, 451/3871 is
LCM of Numerators i.e. for 321,451 is 144771
GCF of denominators i.e. for 15,3871 is 1.
Thus, LCM of Fractions is 144771.Finally, LCM of Fractions for 321/15, 451/3871 is 144771.