Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 890/82, 493/5800 quickly i.e. 219385 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 890/82, 493/5800 is 219385.
LCM(890/82, 493/5800) = 219385
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 890/82,493/5800
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 890,493
Least Common Multiple of Numerators i.e. LCM of 890,493 is 438770.
GCF of Denominators means GCF of 82,5800 as per the given fractions.
GCF of 82,5800 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 890,493
Given numbers has no common factors except 1. So, there LCM is their product i.e 438770
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 890,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(890,493) x common factors =1 x 1 = 1
LCM(890,493) = ( 890 × 493 ) / 1
LCM(890,493) = 438770 / 1
LCM(890,493) = 438770
Lets's calculate GCF of 82,5800
2 | 82, 5800 |
41, 2900 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 438770/2
Therefore the LCM of Fractions 890/82,493/5800 is 219385
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 5800
List of positive integer factors of 5800 that divides 5800 without a remainder.
1,2,4,5,8,10,20,25,29,40,50,58,100,116,145,200,232,290,580,725,1160,1450,2900,5800
Greatest Common Factor
We found the factors 82,5800 . The biggest common factor number is the GCF number.
So the greatest common factor 82,5800 is 2.
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 890/82, 493/5800?
Answer: LCM of Numerators as per given numbers 890/82, 493/5800 is
LCM of Numerators i.e. for 890,493 is 438770
GCF of denominators i.e. for 82,5800 is 2.
Thus, LCM of Fractions is 219385.Finally, LCM of Fractions for 890/82, 493/5800 is 219385.