Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 599/98, 839/50, 285/109 quickly i.e. 143229885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 599/98, 839/50, 285/109 is 143229885.
LCM(599/98, 839/50, 285/109) = 143229885
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 599/98,839/50,285/109
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 599,839,285
Least Common Multiple of Numerators i.e. LCM of 599,839,285 is 143229885.
GCF of Denominators means GCF of 98,50,109 as per the given fractions.
GCF of 98,50,109 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 599,839,285
Given numbers has no common factors except 1. So, there LCM is their product i.e 143229885
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 599,839,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,839,285) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,839,285) x common factors =1 x 1 = 1
LCM(599,839,285) = ( 599 × 839 × 285 ) / 1
LCM(599,839,285) = 143229885 / 1
LCM(599,839,285) = 143229885
Lets's calculate GCF of 98,50,109
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143229885/1
Therefore the LCM of Fractions 599/98,839/50,285/109 is 143229885
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
Greatest Common Factor
We found the factors 98,50,109 . The biggest common factor number is the GCF number.
So the greatest common factor 98,50,109 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 599/98, 839/50, 285/109?
Answer: LCM of Numerators as per given numbers 599/98, 839/50, 285/109 is
LCM of Numerators i.e. for 599,839,285 is 143229885
GCF of denominators i.e. for 98,50,109 is 1.
Thus, LCM of Fractions is 143229885.Finally, LCM of Fractions for 599/98, 839/50, 285/109 is 143229885.