Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7605/180, 6392/489 quickly i.e. 16203720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7605/180, 6392/489 is 16203720.
LCM(7605/180, 6392/489) = 16203720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7605/180,6392/489
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 7605,6392
Least Common Multiple of Numerators i.e. LCM of 7605,6392 is 48611160.
GCF of Denominators means GCF of 180,489 as per the given fractions.
GCF of 180,489 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7605,6392
Given numbers has no common factors except 1. So, there LCM is their product i.e 48611160
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 7605,6392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7605,6392) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7605,6392) x common factors =1 x 1 = 1
LCM(7605,6392) = ( 7605 × 6392 ) / 1
LCM(7605,6392) = 48611160 / 1
LCM(7605,6392) = 48611160
Lets's calculate GCF of 180,489
3 | 180, 489 |
60, 163 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48611160/3
Therefore the LCM of Fractions 7605/180,6392/489 is 16203720
Factors of 180
List of positive integer factors of 180 that divides 180 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Greatest Common Factor
We found the factors 180,489 . The biggest common factor number is the GCF number.
So the greatest common factor 180,489 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 7605/180, 6392/489?
Answer: LCM of Numerators as per given numbers 7605/180, 6392/489 is
LCM of Numerators i.e. for 7605,6392 is 48611160
GCF of denominators i.e. for 180,489 is 3.
Thus, LCM of Fractions is 16203720.Finally, LCM of Fractions for 7605/180, 6392/489 is 16203720.