Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/399, 275/131, 893/740 quickly i.e. 3929200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/399, 275/131, 893/740 is 3929200.
LCM(16/399, 275/131, 893/740) = 3929200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/399,275/131,893/740
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 16,275,893
Least Common Multiple of Numerators i.e. LCM of 16,275,893 is 3929200.
GCF of Denominators means GCF of 399,131,740 as per the given fractions.
GCF of 399,131,740 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,275,893
Given numbers has no common factors except 1. So, there LCM is their product i.e 3929200
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 16,275,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,275,893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,275,893) x common factors =1 x 1 = 1
LCM(16,275,893) = ( 16 × 275 × 893 ) / 1
LCM(16,275,893) = 3929200 / 1
LCM(16,275,893) = 3929200
Lets's calculate GCF of 399,131,740
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3929200/1
Therefore the LCM of Fractions 16/399,275/131,893/740 is 3929200
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Factors of 131
List of positive integer factors of 131 that divides 131 without a remainder.
1,131
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Greatest Common Factor
We found the factors 399,131,740 . The biggest common factor number is the GCF number.
So the greatest common factor 399,131,740 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 16/399, 275/131, 893/740?
Answer: LCM of Numerators as per given numbers 16/399, 275/131, 893/740 is
LCM of Numerators i.e. for 16,275,893 is 3929200
GCF of denominators i.e. for 399,131,740 is 1.
Thus, LCM of Fractions is 3929200.Finally, LCM of Fractions for 16/399, 275/131, 893/740 is 3929200.