Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/39, 727/18, 493/90 quickly i.e. 1075233 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/39, 727/18, 493/90 is 1075233.
LCM(9/39, 727/18, 493/90) = 1075233
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/39,727/18,493/90
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 9,727,493
Least Common Multiple of Numerators i.e. LCM of 9,727,493 is 3225699.
GCF of Denominators means GCF of 39,18,90 as per the given fractions.
GCF of 39,18,90 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,727,493
Given numbers has no common factors except 1. So, there LCM is their product i.e 3225699
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 9,727,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,727,493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9,727,493) x common factors =1 x 1 = 1
LCM(9,727,493) = ( 9 × 727 × 493 ) / 1
LCM(9,727,493) = 3225699 / 1
LCM(9,727,493) = 3225699
Lets's calculate GCF of 39,18,90
3 | 39, 18, 90 |
13, 6, 30 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3225699/3
Therefore the LCM of Fractions 9/39,727/18,493/90 is 1075233
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Greatest Common Factor
We found the factors 39,18,90 . The biggest common factor number is the GCF number.
So the greatest common factor 39,18,90 is 3.
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 9/39, 727/18, 493/90?
Answer: LCM of Numerators as per given numbers 9/39, 727/18, 493/90 is
LCM of Numerators i.e. for 9,727,493 is 3225699
GCF of denominators i.e. for 39,18,90 is 3.
Thus, LCM of Fractions is 1075233.Finally, LCM of Fractions for 9/39, 727/18, 493/90 is 1075233.