Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 567/483, 8408/825 quickly i.e. 1589112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 567/483, 8408/825 is 1589112.
LCM(567/483, 8408/825) = 1589112
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 567/483,8408/825
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 567,8408
Least Common Multiple of Numerators i.e. LCM of 567,8408 is 4767336.
GCF of Denominators means GCF of 483,825 as per the given fractions.
GCF of 483,825 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 567,8408
Given numbers has no common factors except 1. So, there LCM is their product i.e 4767336
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 567,8408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,8408) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(567,8408) x common factors =1 x 1 = 1
LCM(567,8408) = ( 567 × 8408 ) / 1
LCM(567,8408) = 4767336 / 1
LCM(567,8408) = 4767336
Lets's calculate GCF of 483,825
3 | 483, 825 |
161, 275 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4767336/3
Therefore the LCM of Fractions 567/483,8408/825 is 1589112
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Greatest Common Factor
We found the factors 483,825 . The biggest common factor number is the GCF number.
So the greatest common factor 483,825 is 3.
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 567/483, 8408/825?
Answer: LCM of Numerators as per given numbers 567/483, 8408/825 is
LCM of Numerators i.e. for 567,8408 is 4767336
GCF of denominators i.e. for 483,825 is 3.
Thus, LCM of Fractions is 1589112.Finally, LCM of Fractions for 567/483, 8408/825 is 1589112.