Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4667/539, 5483/462 quickly i.e. 25589161/77 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4667/539, 5483/462 is 25589161/77.
LCM(4667/539, 5483/462) = 25589161/77
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4667/539,5483/462
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 4667,5483
Least Common Multiple of Numerators i.e. LCM of 4667,5483 is 25589161.
GCF of Denominators means GCF of 539,462 as per the given fractions.
GCF of 539,462 is 77 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4667,5483
Given numbers has no common factors except 1. So, there LCM is their product i.e 25589161
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 4667,5483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4667,5483) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4667,5483) x common factors =1 x 1 = 1
LCM(4667,5483) = ( 4667 × 5483 ) / 1
LCM(4667,5483) = 25589161 / 1
LCM(4667,5483) = 25589161
Lets's calculate GCF of 539,462
7 | 539, 462 |
11 | 77, 66 |
7, 6 |
∴ So the GCF of the given numbers is 7 x 11 = 77
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25589161/77
Therefore the LCM of Fractions 4667/539,5483/462 is 25589161/77
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Greatest Common Factor
We found the factors 539,462 . The biggest common factor number is the GCF number.
So the greatest common factor 539,462 is 77.
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 4667/539, 5483/462?
Answer: LCM of Numerators as per given numbers 4667/539, 5483/462 is
LCM of Numerators i.e. for 4667,5483 is 25589161
GCF of denominators i.e. for 539,462 is 77.
Thus, LCM of Fractions is 25589161/77.Finally, LCM of Fractions for 4667/539, 5483/462 is 25589161/77.