Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4356/419, 6581/648 quickly i.e. 28666836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4356/419, 6581/648 is 28666836.
LCM(4356/419, 6581/648) = 28666836
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4356/419,6581/648
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 4356,6581
Least Common Multiple of Numerators i.e. LCM of 4356,6581 is 28666836.
GCF of Denominators means GCF of 419,648 as per the given fractions.
GCF of 419,648 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4356,6581
Given numbers has no common factors except 1. So, there LCM is their product i.e 28666836
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 4356,6581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4356,6581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4356,6581) x common factors =1 x 1 = 1
LCM(4356,6581) = ( 4356 × 6581 ) / 1
LCM(4356,6581) = 28666836 / 1
LCM(4356,6581) = 28666836
Lets's calculate GCF of 419,648
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28666836/1
Therefore the LCM of Fractions 4356/419,6581/648 is 28666836
Factors of 419
List of positive integer factors of 419 that divides 419 without a remainder.
1,419
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 419,648 . The biggest common factor number is the GCF number.
So the greatest common factor 419,648 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 4356/419, 6581/648?
Answer: LCM of Numerators as per given numbers 4356/419, 6581/648 is
LCM of Numerators i.e. for 4356,6581 is 28666836
GCF of denominators i.e. for 419,648 is 1.
Thus, LCM of Fractions is 28666836.Finally, LCM of Fractions for 4356/419, 6581/648 is 28666836.