Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 850/489, 2873/2320 quickly i.e. 143650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 850/489, 2873/2320 is 143650.
LCM(850/489, 2873/2320) = 143650
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 850/489,2873/2320
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 850,2873
Least Common Multiple of Numerators i.e. LCM of 850,2873 is 143650.
GCF of Denominators means GCF of 489,2320 as per the given fractions.
GCF of 489,2320 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 850,2873
17 | 850, 2873 |
50, 169 |
∴ So the LCM of the given numbers is 17 x 50 x 169 = 143650
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 850,2873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,2873) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(850,2873) x common factors =17 x 1 = 17
LCM(850,2873) = ( 850 × 2873 ) / 17
LCM(850,2873) = 2442050 / 17
LCM(850,2873) = 143650
Lets's calculate GCF of 489,2320
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143650/1
Therefore the LCM of Fractions 850/489,2873/2320 is 143650
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Factors of 2320
List of positive integer factors of 2320 that divides 2320 without a remainder.
1,2,4,5,8,10,16,20,29,40,58,80,116,145,232,290,464,580,1160,2320
Greatest Common Factor
We found the factors 489,2320 . The biggest common factor number is the GCF number.
So the greatest common factor 489,2320 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 850/489, 2873/2320?
Answer: LCM of Numerators as per given numbers 850/489, 2873/2320 is
LCM of Numerators i.e. for 850,2873 is 143650
GCF of denominators i.e. for 489,2320 is 1.
Thus, LCM of Fractions is 143650.Finally, LCM of Fractions for 850/489, 2873/2320 is 143650.