Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7413/215, 1682/3399 quickly i.e. 12468666 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7413/215, 1682/3399 is 12468666.
LCM(7413/215, 1682/3399) = 12468666
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7413/215,1682/3399
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 7413,1682
Least Common Multiple of Numerators i.e. LCM of 7413,1682 is 12468666.
GCF of Denominators means GCF of 215,3399 as per the given fractions.
GCF of 215,3399 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7413,1682
Given numbers has no common factors except 1. So, there LCM is their product i.e 12468666
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 7413,1682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7413,1682) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7413,1682) x common factors =1 x 1 = 1
LCM(7413,1682) = ( 7413 × 1682 ) / 1
LCM(7413,1682) = 12468666 / 1
LCM(7413,1682) = 12468666
Lets's calculate GCF of 215,3399
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12468666/1
Therefore the LCM of Fractions 7413/215,1682/3399 is 12468666
Factors of 215
List of positive integer factors of 215 that divides 215 without a remainder.
1,5,43,215
Factors of 3399
List of positive integer factors of 3399 that divides 3399 without a remainder.
1,3,11,33,103,309,1133,3399
Greatest Common Factor
We found the factors 215,3399 . The biggest common factor number is the GCF number.
So the greatest common factor 215,3399 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 7413/215, 1682/3399?
Answer: LCM of Numerators as per given numbers 7413/215, 1682/3399 is
LCM of Numerators i.e. for 7413,1682 is 12468666
GCF of denominators i.e. for 215,3399 is 1.
Thus, LCM of Fractions is 12468666.Finally, LCM of Fractions for 7413/215, 1682/3399 is 12468666.