Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2000/642, 8399/1883 quickly i.e. 16798000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2000/642, 8399/1883 is 16798000.
LCM(2000/642, 8399/1883) = 16798000
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2000/642,8399/1883
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 2000,8399
Least Common Multiple of Numerators i.e. LCM of 2000,8399 is 16798000.
GCF of Denominators means GCF of 642,1883 as per the given fractions.
GCF of 642,1883 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2000,8399
Given numbers has no common factors except 1. So, there LCM is their product i.e 16798000
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 2000,8399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2000,8399) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2000,8399) x common factors =1 x 1 = 1
LCM(2000,8399) = ( 2000 × 8399 ) / 1
LCM(2000,8399) = 16798000 / 1
LCM(2000,8399) = 16798000
Lets's calculate GCF of 642,1883
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16798000/1
Therefore the LCM of Fractions 2000/642,8399/1883 is 16798000
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 1883
List of positive integer factors of 1883 that divides 1883 without a remainder.
1,7,269,1883
Greatest Common Factor
We found the factors 642,1883 . The biggest common factor number is the GCF number.
So the greatest common factor 642,1883 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 2000/642, 8399/1883?
Answer: LCM of Numerators as per given numbers 2000/642, 8399/1883 is
LCM of Numerators i.e. for 2000,8399 is 16798000
GCF of denominators i.e. for 642,1883 is 1.
Thus, LCM of Fractions is 16798000.Finally, LCM of Fractions for 2000/642, 8399/1883 is 16798000.