Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 446/395, 3279/7197 quickly i.e. 1462434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 446/395, 3279/7197 is 1462434.
LCM(446/395, 3279/7197) = 1462434
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 446/395,3279/7197
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 446,3279
Least Common Multiple of Numerators i.e. LCM of 446,3279 is 1462434.
GCF of Denominators means GCF of 395,7197 as per the given fractions.
GCF of 395,7197 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 446,3279
Given numbers has no common factors except 1. So, there LCM is their product i.e 1462434
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 446,3279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,3279) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(446,3279) x common factors =1 x 1 = 1
LCM(446,3279) = ( 446 × 3279 ) / 1
LCM(446,3279) = 1462434 / 1
LCM(446,3279) = 1462434
Lets's calculate GCF of 395,7197
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1462434/1
Therefore the LCM of Fractions 446/395,3279/7197 is 1462434
Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1,5,79,395
Factors of 7197
List of positive integer factors of 7197 that divides 7197 without a remainder.
1,3,2399,7197
Greatest Common Factor
We found the factors 395,7197 . The biggest common factor number is the GCF number.
So the greatest common factor 395,7197 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 446/395, 3279/7197?
Answer: LCM of Numerators as per given numbers 446/395, 3279/7197 is
LCM of Numerators i.e. for 446,3279 is 1462434
GCF of denominators i.e. for 395,7197 is 1.
Thus, LCM of Fractions is 1462434.Finally, LCM of Fractions for 446/395, 3279/7197 is 1462434.