Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5043/66, 8039/621 quickly i.e. 13513559 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5043/66, 8039/621 is 13513559.
LCM(5043/66, 8039/621) = 13513559
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5043/66,8039/621
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 5043,8039
Least Common Multiple of Numerators i.e. LCM of 5043,8039 is 40540677.
GCF of Denominators means GCF of 66,621 as per the given fractions.
GCF of 66,621 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5043,8039
Given numbers has no common factors except 1. So, there LCM is their product i.e 40540677
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 5043,8039 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5043,8039) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5043,8039) x common factors =1 x 1 = 1
LCM(5043,8039) = ( 5043 × 8039 ) / 1
LCM(5043,8039) = 40540677 / 1
LCM(5043,8039) = 40540677
Lets's calculate GCF of 66,621
3 | 66, 621 |
22, 207 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40540677/3
Therefore the LCM of Fractions 5043/66,8039/621 is 13513559
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Greatest Common Factor
We found the factors 66,621 . The biggest common factor number is the GCF number.
So the greatest common factor 66,621 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 5043/66, 8039/621?
Answer: LCM of Numerators as per given numbers 5043/66, 8039/621 is
LCM of Numerators i.e. for 5043,8039 is 40540677
GCF of denominators i.e. for 66,621 is 3.
Thus, LCM of Fractions is 13513559.Finally, LCM of Fractions for 5043/66, 8039/621 is 13513559.