Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6569/414, 8352/4842 quickly i.e. 3048016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6569/414, 8352/4842 is 3048016.
LCM(6569/414, 8352/4842) = 3048016
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6569/414,8352/4842
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 6569,8352
Least Common Multiple of Numerators i.e. LCM of 6569,8352 is 54864288.
GCF of Denominators means GCF of 414,4842 as per the given fractions.
GCF of 414,4842 is 18 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6569,8352
Given numbers has no common factors except 1. So, there LCM is their product i.e 54864288
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 6569,8352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6569,8352) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6569,8352) x common factors =1 x 1 = 1
LCM(6569,8352) = ( 6569 × 8352 ) / 1
LCM(6569,8352) = 54864288 / 1
LCM(6569,8352) = 54864288
Lets's calculate GCF of 414,4842
2 | 414, 4842 |
3 | 207, 2421 |
3 | 69, 807 |
23, 269 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54864288/18
Therefore the LCM of Fractions 6569/414,8352/4842 is 3048016
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Factors of 4842
List of positive integer factors of 4842 that divides 4842 without a remainder.
1,2,3,6,9,18,269,538,807,1614,2421,4842
Greatest Common Factor
We found the factors 414,4842 . The biggest common factor number is the GCF number.
So the greatest common factor 414,4842 is 18.
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 6569/414, 8352/4842?
Answer: LCM of Numerators as per given numbers 6569/414, 8352/4842 is
LCM of Numerators i.e. for 6569,8352 is 54864288
GCF of denominators i.e. for 414,4842 is 18.
Thus, LCM of Fractions is 3048016.Finally, LCM of Fractions for 6569/414, 8352/4842 is 3048016.