Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1686/479, 3167/5619 quickly i.e. 5339562 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1686/479, 3167/5619 is 5339562.
LCM(1686/479, 3167/5619) = 5339562
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1686/479,3167/5619
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 1686,3167
Least Common Multiple of Numerators i.e. LCM of 1686,3167 is 5339562.
GCF of Denominators means GCF of 479,5619 as per the given fractions.
GCF of 479,5619 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1686,3167
Given numbers has no common factors except 1. So, there LCM is their product i.e 5339562
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 1686,3167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1686,3167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1686,3167) x common factors =1 x 1 = 1
LCM(1686,3167) = ( 1686 × 3167 ) / 1
LCM(1686,3167) = 5339562 / 1
LCM(1686,3167) = 5339562
Lets's calculate GCF of 479,5619
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5339562/1
Therefore the LCM of Fractions 1686/479,3167/5619 is 5339562
Factors of 479
List of positive integer factors of 479 that divides 479 without a remainder.
1,479
Factors of 5619
List of positive integer factors of 5619 that divides 5619 without a remainder.
1,3,1873,5619
Greatest Common Factor
We found the factors 479,5619 . The biggest common factor number is the GCF number.
So the greatest common factor 479,5619 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 1686/479, 3167/5619?
Answer: LCM of Numerators as per given numbers 1686/479, 3167/5619 is
LCM of Numerators i.e. for 1686,3167 is 5339562
GCF of denominators i.e. for 479,5619 is 1.
Thus, LCM of Fractions is 5339562.Finally, LCM of Fractions for 1686/479, 3167/5619 is 5339562.