Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 200/673, 1859/1988 quickly i.e. 371800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 200/673, 1859/1988 is 371800.
LCM(200/673, 1859/1988) = 371800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 200/673,1859/1988
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 200,1859
Least Common Multiple of Numerators i.e. LCM of 200,1859 is 371800.
GCF of Denominators means GCF of 673,1988 as per the given fractions.
GCF of 673,1988 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 200,1859
Given numbers has no common factors except 1. So, there LCM is their product i.e 371800
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 200,1859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,1859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(200,1859) x common factors =1 x 1 = 1
LCM(200,1859) = ( 200 × 1859 ) / 1
LCM(200,1859) = 371800 / 1
LCM(200,1859) = 371800
Lets's calculate GCF of 673,1988
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 371800/1
Therefore the LCM of Fractions 200/673,1859/1988 is 371800
Factors of 673
List of positive integer factors of 673 that divides 673 without a remainder.
1,673
Factors of 1988
List of positive integer factors of 1988 that divides 1988 without a remainder.
1,2,4,7,14,28,71,142,284,497,994,1988
Greatest Common Factor
We found the factors 673,1988 . The biggest common factor number is the GCF number.
So the greatest common factor 673,1988 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 200/673, 1859/1988?
Answer: LCM of Numerators as per given numbers 200/673, 1859/1988 is
LCM of Numerators i.e. for 200,1859 is 371800
GCF of denominators i.e. for 673,1988 is 1.
Thus, LCM of Fractions is 371800.Finally, LCM of Fractions for 200/673, 1859/1988 is 371800.