Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 665/90, 489/10, 409/509 quickly i.e. 133000665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 665/90, 489/10, 409/509 is 133000665.
LCM(665/90, 489/10, 409/509) = 133000665
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 665/90,489/10,409/509
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 665,489,409
Least Common Multiple of Numerators i.e. LCM of 665,489,409 is 133000665.
GCF of Denominators means GCF of 90,10,509 as per the given fractions.
GCF of 90,10,509 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 665,489,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 133000665
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 665,489,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,489,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(665,489,409) x common factors =1 x 1 = 1
LCM(665,489,409) = ( 665 × 489 × 409 ) / 1
LCM(665,489,409) = 133000665 / 1
LCM(665,489,409) = 133000665
Lets's calculate GCF of 90,10,509
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133000665/1
Therefore the LCM of Fractions 665/90,489/10,409/509 is 133000665
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
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 509
List of positive integer factors of 509 that divides 509 without a remainder.
1,509
Greatest Common Factor
We found the factors 90,10,509 . The biggest common factor number is the GCF number.
So the greatest common factor 90,10,509 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 665/90, 489/10, 409/509?
Answer: LCM of Numerators as per given numbers 665/90, 489/10, 409/509 is
LCM of Numerators i.e. for 665,489,409 is 133000665
GCF of denominators i.e. for 90,10,509 is 1.
Thus, LCM of Fractions is 133000665.Finally, LCM of Fractions for 665/90, 489/10, 409/509 is 133000665.