Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 419/320, 342/485 quickly i.e. 143298/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 419/320, 342/485 is 143298/5.
LCM(419/320, 342/485) = 143298/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 419/320,342/485
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 419,342
Least Common Multiple of Numerators i.e. LCM of 419,342 is 143298.
GCF of Denominators means GCF of 320,485 as per the given fractions.
GCF of 320,485 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 419,342
Given numbers has no common factors except 1. So, there LCM is their product i.e 143298
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 419,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,342) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,342) x common factors =1 x 1 = 1
LCM(419,342) = ( 419 × 342 ) / 1
LCM(419,342) = 143298 / 1
LCM(419,342) = 143298
Lets's calculate GCF of 320,485
5 | 320, 485 |
64, 97 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143298/5
Therefore the LCM of Fractions 419/320,342/485 is 143298/5
Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,160,320
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Greatest Common Factor
We found the factors 320,485 . The biggest common factor number is the GCF number.
So the greatest common factor 320,485 is 5.
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 419/320, 342/485?
Answer: LCM of Numerators as per given numbers 419/320, 342/485 is
LCM of Numerators i.e. for 419,342 is 143298
GCF of denominators i.e. for 320,485 is 5.
Thus, LCM of Fractions is 143298/5.Finally, LCM of Fractions for 419/320, 342/485 is 143298/5.