Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8273/821, 8143/5229 quickly i.e. 67367039 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8273/821, 8143/5229 is 67367039.
LCM(8273/821, 8143/5229) = 67367039
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8273/821,8143/5229
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 8273,8143
Least Common Multiple of Numerators i.e. LCM of 8273,8143 is 67367039.
GCF of Denominators means GCF of 821,5229 as per the given fractions.
GCF of 821,5229 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8273,8143
Given numbers has no common factors except 1. So, there LCM is their product i.e 67367039
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 8273,8143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8273,8143) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8273,8143) x common factors =1 x 1 = 1
LCM(8273,8143) = ( 8273 × 8143 ) / 1
LCM(8273,8143) = 67367039 / 1
LCM(8273,8143) = 67367039
Lets's calculate GCF of 821,5229
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67367039/1
Therefore the LCM of Fractions 8273/821,8143/5229 is 67367039
Factors of 821
List of positive integer factors of 821 that divides 821 without a remainder.
1,821
Factors of 5229
List of positive integer factors of 5229 that divides 5229 without a remainder.
1,3,7,9,21,63,83,249,581,747,1743,5229
Greatest Common Factor
We found the factors 821,5229 . The biggest common factor number is the GCF number.
So the greatest common factor 821,5229 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 8273/821, 8143/5229?
Answer: LCM of Numerators as per given numbers 8273/821, 8143/5229 is
LCM of Numerators i.e. for 8273,8143 is 67367039
GCF of denominators i.e. for 821,5229 is 1.
Thus, LCM of Fractions is 67367039.Finally, LCM of Fractions for 8273/821, 8143/5229 is 67367039.