Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 489/785, 591/519, 406/799 quickly i.e. 39111198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 489/785, 591/519, 406/799 is 39111198.
LCM(489/785, 591/519, 406/799) = 39111198
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 489/785,591/519,406/799
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 489,591,406
Least Common Multiple of Numerators i.e. LCM of 489,591,406 is 39111198.
GCF of Denominators means GCF of 785,519,799 as per the given fractions.
GCF of 785,519,799 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 489,591,406
3 | 489, 591, 406 |
163, 197, 406 |
∴ So the LCM of the given numbers is 3 x 163 x 197 x 406 = 39111198
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 489,591,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,591,406) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(489,591,406) x common factors =1 x 3 = 3
LCM(489,591,406) = ( 489 × 591 × 406 ) / 3
LCM(489,591,406) = 117333594 / 3
LCM(489,591,406) = 39111198
Lets's calculate GCF of 785,519,799
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39111198/1
Therefore the LCM of Fractions 489/785,591/519,406/799 is 39111198
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Greatest Common Factor
We found the factors 785,519,799 . The biggest common factor number is the GCF number.
So the greatest common factor 785,519,799 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 489/785, 591/519, 406/799?
Answer: LCM of Numerators as per given numbers 489/785, 591/519, 406/799 is
LCM of Numerators i.e. for 489,591,406 is 39111198
GCF of denominators i.e. for 785,519,799 is 1.
Thus, LCM of Fractions is 39111198.Finally, LCM of Fractions for 489/785, 591/519, 406/799 is 39111198.