Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/639, 7273/3820 quickly i.e. 240009 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/639, 7273/3820 is 240009.
LCM(33/639, 7273/3820) = 240009
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/639,7273/3820
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 33,7273
Least Common Multiple of Numerators i.e. LCM of 33,7273 is 240009.
GCF of Denominators means GCF of 639,3820 as per the given fractions.
GCF of 639,3820 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,7273
Given numbers has no common factors except 1. So, there LCM is their product i.e 240009
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 33,7273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,7273) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,7273) x common factors =1 x 1 = 1
LCM(33,7273) = ( 33 × 7273 ) / 1
LCM(33,7273) = 240009 / 1
LCM(33,7273) = 240009
Lets's calculate GCF of 639,3820
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240009/1
Therefore the LCM of Fractions 33/639,7273/3820 is 240009
Factors of 639
List of positive integer factors of 639 that divides 639 without a remainder.
1,3,9,71,213,639
Factors of 3820
List of positive integer factors of 3820 that divides 3820 without a remainder.
1,2,4,5,10,20,191,382,764,955,1910,3820
Greatest Common Factor
We found the factors 639,3820 . The biggest common factor number is the GCF number.
So the greatest common factor 639,3820 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 33/639, 7273/3820?
Answer: LCM of Numerators as per given numbers 33/639, 7273/3820 is
LCM of Numerators i.e. for 33,7273 is 240009
GCF of denominators i.e. for 639,3820 is 1.
Thus, LCM of Fractions is 240009.Finally, LCM of Fractions for 33/639, 7273/3820 is 240009.