Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3064/723, 4718/320 quickly i.e. 7227976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3064/723, 4718/320 is 7227976.
LCM(3064/723, 4718/320) = 7227976
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3064/723,4718/320
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 3064,4718
Least Common Multiple of Numerators i.e. LCM of 3064,4718 is 7227976.
GCF of Denominators means GCF of 723,320 as per the given fractions.
GCF of 723,320 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3064,4718
2 | 3064, 4718 |
1532, 2359 |
∴ So the LCM of the given numbers is 2 x 1532 x 2359 = 7227976
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 3064,4718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3064,4718) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3064,4718) x common factors =2 x 1 = 2
LCM(3064,4718) = ( 3064 × 4718 ) / 2
LCM(3064,4718) = 14455952 / 2
LCM(3064,4718) = 7227976
Lets's calculate GCF of 723,320
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7227976/1
Therefore the LCM of Fractions 3064/723,4718/320 is 7227976
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
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
Greatest Common Factor
We found the factors 723,320 . The biggest common factor number is the GCF number.
So the greatest common factor 723,320 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 3064/723, 4718/320?
Answer: LCM of Numerators as per given numbers 3064/723, 4718/320 is
LCM of Numerators i.e. for 3064,4718 is 7227976
GCF of denominators i.e. for 723,320 is 1.
Thus, LCM of Fractions is 7227976.Finally, LCM of Fractions for 3064/723, 4718/320 is 7227976.