Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 199/512, 599/357, 323/519 quickly i.e. 38501923 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 199/512, 599/357, 323/519 is 38501923.
LCM(199/512, 599/357, 323/519) = 38501923
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 199/512,599/357,323/519
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 199,599,323
Least Common Multiple of Numerators i.e. LCM of 199,599,323 is 38501923.
GCF of Denominators means GCF of 512,357,519 as per the given fractions.
GCF of 512,357,519 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 199,599,323
Given numbers has no common factors except 1. So, there LCM is their product i.e 38501923
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 199,599,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,599,323) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(199,599,323) x common factors =1 x 1 = 1
LCM(199,599,323) = ( 199 × 599 × 323 ) / 1
LCM(199,599,323) = 38501923 / 1
LCM(199,599,323) = 38501923
Lets's calculate GCF of 512,357,519
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38501923/1
Therefore the LCM of Fractions 199/512,599/357,323/519 is 38501923
Factors of 512
List of positive integer factors of 512 that divides 512 without a remainder.
1,2,4,8,16,32,64,128,256,512
Factors of 357
List of positive integer factors of 357 that divides 357 without a remainder.
1,3,7,17,21,51,119,357
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Greatest Common Factor
We found the factors 512,357,519 . The biggest common factor number is the GCF number.
So the greatest common factor 512,357,519 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 199/512, 599/357, 323/519?
Answer: LCM of Numerators as per given numbers 199/512, 599/357, 323/519 is
LCM of Numerators i.e. for 199,599,323 is 38501923
GCF of denominators i.e. for 512,357,519 is 1.
Thus, LCM of Fractions is 38501923.Finally, LCM of Fractions for 199/512, 599/357, 323/519 is 38501923.