Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 648/419, 8299/606 quickly i.e. 5377752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 648/419, 8299/606 is 5377752.
LCM(648/419, 8299/606) = 5377752
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 648/419,8299/606
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 648,8299
Least Common Multiple of Numerators i.e. LCM of 648,8299 is 5377752.
GCF of Denominators means GCF of 419,606 as per the given fractions.
GCF of 419,606 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 648,8299
Given numbers has no common factors except 1. So, there LCM is their product i.e 5377752
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 648,8299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,8299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(648,8299) x common factors =1 x 1 = 1
LCM(648,8299) = ( 648 × 8299 ) / 1
LCM(648,8299) = 5377752 / 1
LCM(648,8299) = 5377752
Lets's calculate GCF of 419,606
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5377752/1
Therefore the LCM of Fractions 648/419,8299/606 is 5377752
Factors of 419
List of positive integer factors of 419 that divides 419 without a remainder.
1,419
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Greatest Common Factor
We found the factors 419,606 . The biggest common factor number is the GCF number.
So the greatest common factor 419,606 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 648/419, 8299/606?
Answer: LCM of Numerators as per given numbers 648/419, 8299/606 is
LCM of Numerators i.e. for 648,8299 is 5377752
GCF of denominators i.e. for 419,606 is 1.
Thus, LCM of Fractions is 5377752.Finally, LCM of Fractions for 648/419, 8299/606 is 5377752.