Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/344, 637/642, 215/399 quickly i.e. 2191280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/344, 637/642, 215/399 is 2191280.
LCM(16/344, 637/642, 215/399) = 2191280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/344,637/642,215/399
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 16,637,215
Least Common Multiple of Numerators i.e. LCM of 16,637,215 is 2191280.
GCF of Denominators means GCF of 344,642,399 as per the given fractions.
GCF of 344,642,399 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,637,215
Given numbers has no common factors except 1. So, there LCM is their product i.e 2191280
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 16,637,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,637,215) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,637,215) x common factors =1 x 1 = 1
LCM(16,637,215) = ( 16 × 637 × 215 ) / 1
LCM(16,637,215) = 2191280 / 1
LCM(16,637,215) = 2191280
Lets's calculate GCF of 344,642,399
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2191280/1
Therefore the LCM of Fractions 16/344,637/642,215/399 is 2191280
Factors of 344
List of positive integer factors of 344 that divides 344 without a remainder.
1,2,4,8,43,86,172,344
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Greatest Common Factor
We found the factors 344,642,399 . The biggest common factor number is the GCF number.
So the greatest common factor 344,642,399 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 16/344, 637/642, 215/399?
Answer: LCM of Numerators as per given numbers 16/344, 637/642, 215/399 is
LCM of Numerators i.e. for 16,637,215 is 2191280
GCF of denominators i.e. for 344,642,399 is 1.
Thus, LCM of Fractions is 2191280.Finally, LCM of Fractions for 16/344, 637/642, 215/399 is 2191280.