Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8548/387, 5325/2083 quickly i.e. 45518100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8548/387, 5325/2083 is 45518100.
LCM(8548/387, 5325/2083) = 45518100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8548/387,5325/2083
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 8548,5325
Least Common Multiple of Numerators i.e. LCM of 8548,5325 is 45518100.
GCF of Denominators means GCF of 387,2083 as per the given fractions.
GCF of 387,2083 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8548,5325
Given numbers has no common factors except 1. So, there LCM is their product i.e 45518100
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 8548,5325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8548,5325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8548,5325) x common factors =1 x 1 = 1
LCM(8548,5325) = ( 8548 × 5325 ) / 1
LCM(8548,5325) = 45518100 / 1
LCM(8548,5325) = 45518100
Lets's calculate GCF of 387,2083
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45518100/1
Therefore the LCM of Fractions 8548/387,5325/2083 is 45518100
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Factors of 2083
List of positive integer factors of 2083 that divides 2083 without a remainder.
1,2083
Greatest Common Factor
We found the factors 387,2083 . The biggest common factor number is the GCF number.
So the greatest common factor 387,2083 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 8548/387, 5325/2083?
Answer: LCM of Numerators as per given numbers 8548/387, 5325/2083 is
LCM of Numerators i.e. for 8548,5325 is 45518100
GCF of denominators i.e. for 387,2083 is 1.
Thus, LCM of Fractions is 45518100.Finally, LCM of Fractions for 8548/387, 5325/2083 is 45518100.