Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2001/573, 4818/339 quickly i.e. 1071202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2001/573, 4818/339 is 1071202.
LCM(2001/573, 4818/339) = 1071202
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2001/573,4818/339
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 2001,4818
Least Common Multiple of Numerators i.e. LCM of 2001,4818 is 3213606.
GCF of Denominators means GCF of 573,339 as per the given fractions.
GCF of 573,339 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2001,4818
3 | 2001, 4818 |
667, 1606 |
∴ So the LCM of the given numbers is 3 x 667 x 1606 = 3213606
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 2001,4818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2001,4818) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(2001,4818) x common factors =3 x 1 = 3
LCM(2001,4818) = ( 2001 × 4818 ) / 3
LCM(2001,4818) = 9640818 / 3
LCM(2001,4818) = 3213606
Lets's calculate GCF of 573,339
3 | 573, 339 |
191, 113 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3213606/3
Therefore the LCM of Fractions 2001/573,4818/339 is 1071202
Factors of 573
List of positive integer factors of 573 that divides 573 without a remainder.
1,3,191,573
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Greatest Common Factor
We found the factors 573,339 . The biggest common factor number is the GCF number.
So the greatest common factor 573,339 is 3.
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 2001/573, 4818/339?
Answer: LCM of Numerators as per given numbers 2001/573, 4818/339 is
LCM of Numerators i.e. for 2001,4818 is 3213606
GCF of denominators i.e. for 573,339 is 3.
Thus, LCM of Fractions is 1071202.Finally, LCM of Fractions for 2001/573, 4818/339 is 1071202.