Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 502/81, 319/6869 quickly i.e. 160138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 502/81, 319/6869 is 160138.
LCM(502/81, 319/6869) = 160138
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 502/81,319/6869
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 502,319
Least Common Multiple of Numerators i.e. LCM of 502,319 is 160138.
GCF of Denominators means GCF of 81,6869 as per the given fractions.
GCF of 81,6869 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 502,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 160138
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 502,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(502,319) x common factors =1 x 1 = 1
LCM(502,319) = ( 502 × 319 ) / 1
LCM(502,319) = 160138 / 1
LCM(502,319) = 160138
Lets's calculate GCF of 81,6869
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160138/1
Therefore the LCM of Fractions 502/81,319/6869 is 160138
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 6869
List of positive integer factors of 6869 that divides 6869 without a remainder.
1,6869
Greatest Common Factor
We found the factors 81,6869 . The biggest common factor number is the GCF number.
So the greatest common factor 81,6869 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 502/81, 319/6869?
Answer: LCM of Numerators as per given numbers 502/81, 319/6869 is
LCM of Numerators i.e. for 502,319 is 160138
GCF of denominators i.e. for 81,6869 is 1.
Thus, LCM of Fractions is 160138.Finally, LCM of Fractions for 502/81, 319/6869 is 160138.