Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/395, 5669/5492 quickly i.e. 561231 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/395, 5669/5492 is 561231.
LCM(99/395, 5669/5492) = 561231
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/395,5669/5492
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 99,5669
Least Common Multiple of Numerators i.e. LCM of 99,5669 is 561231.
GCF of Denominators means GCF of 395,5492 as per the given fractions.
GCF of 395,5492 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,5669
Given numbers has no common factors except 1. So, there LCM is their product i.e 561231
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 99,5669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,5669) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,5669) x common factors =1 x 1 = 1
LCM(99,5669) = ( 99 × 5669 ) / 1
LCM(99,5669) = 561231 / 1
LCM(99,5669) = 561231
Lets's calculate GCF of 395,5492
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 561231/1
Therefore the LCM of Fractions 99/395,5669/5492 is 561231
Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1,5,79,395
Factors of 5492
List of positive integer factors of 5492 that divides 5492 without a remainder.
1,2,4,1373,2746,5492
Greatest Common Factor
We found the factors 395,5492 . The biggest common factor number is the GCF number.
So the greatest common factor 395,5492 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 99/395, 5669/5492?
Answer: LCM of Numerators as per given numbers 99/395, 5669/5492 is
LCM of Numerators i.e. for 99,5669 is 561231
GCF of denominators i.e. for 395,5492 is 1.
Thus, LCM of Fractions is 561231.Finally, LCM of Fractions for 99/395, 5669/5492 is 561231.