Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 386/18, 451/3998 quickly i.e. 87043 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 386/18, 451/3998 is 87043.
LCM(386/18, 451/3998) = 87043
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 386/18,451/3998
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 386,451
Least Common Multiple of Numerators i.e. LCM of 386,451 is 174086.
GCF of Denominators means GCF of 18,3998 as per the given fractions.
GCF of 18,3998 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 386,451
Given numbers has no common factors except 1. So, there LCM is their product i.e 174086
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 386,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(386,451) x common factors =1 x 1 = 1
LCM(386,451) = ( 386 × 451 ) / 1
LCM(386,451) = 174086 / 1
LCM(386,451) = 174086
Lets's calculate GCF of 18,3998
2 | 18, 3998 |
9, 1999 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174086/2
Therefore the LCM of Fractions 386/18,451/3998 is 87043
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 3998
List of positive integer factors of 3998 that divides 3998 without a remainder.
1,2,1999,3998
Greatest Common Factor
We found the factors 18,3998 . The biggest common factor number is the GCF number.
So the greatest common factor 18,3998 is 2.
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 386/18, 451/3998?
Answer: LCM of Numerators as per given numbers 386/18, 451/3998 is
LCM of Numerators i.e. for 386,451 is 174086
GCF of denominators i.e. for 18,3998 is 2.
Thus, LCM of Fractions is 87043.Finally, LCM of Fractions for 386/18, 451/3998 is 87043.