Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/644, 3601/3215 quickly i.e. 295282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/644, 3601/3215 is 295282.
LCM(82/644, 3601/3215) = 295282
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/644,3601/3215
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 82,3601
Least Common Multiple of Numerators i.e. LCM of 82,3601 is 295282.
GCF of Denominators means GCF of 644,3215 as per the given fractions.
GCF of 644,3215 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,3601
Given numbers has no common factors except 1. So, there LCM is their product i.e 295282
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 82,3601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,3601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,3601) x common factors =1 x 1 = 1
LCM(82,3601) = ( 82 × 3601 ) / 1
LCM(82,3601) = 295282 / 1
LCM(82,3601) = 295282
Lets's calculate GCF of 644,3215
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 295282/1
Therefore the LCM of Fractions 82/644,3601/3215 is 295282
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Factors of 3215
List of positive integer factors of 3215 that divides 3215 without a remainder.
1,5,643,3215
Greatest Common Factor
We found the factors 644,3215 . The biggest common factor number is the GCF number.
So the greatest common factor 644,3215 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 82/644, 3601/3215?
Answer: LCM of Numerators as per given numbers 82/644, 3601/3215 is
LCM of Numerators i.e. for 82,3601 is 295282
GCF of denominators i.e. for 644,3215 is 1.
Thus, LCM of Fractions is 295282.Finally, LCM of Fractions for 82/644, 3601/3215 is 295282.