Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/589, 40/784 quickly i.e. 1480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/589, 40/784 is 1480.
LCM(74/589, 40/784) = 1480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/589,40/784
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 74,40
Least Common Multiple of Numerators i.e. LCM of 74,40 is 1480.
GCF of Denominators means GCF of 589,784 as per the given fractions.
GCF of 589,784 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,40
2 | 74, 40 |
37, 20 |
∴ So the LCM of the given numbers is 2 x 37 x 20 = 1480
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 74,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,40) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(74,40) x common factors =2 x 1 = 2
LCM(74,40) = ( 74 × 40 ) / 2
LCM(74,40) = 2960 / 2
LCM(74,40) = 1480
Lets's calculate GCF of 589,784
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1480/1
Therefore the LCM of Fractions 74/589,40/784 is 1480
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Factors of 784
List of positive integer factors of 784 that divides 784 without a remainder.
1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Greatest Common Factor
We found the factors 589,784 . The biggest common factor number is the GCF number.
So the greatest common factor 589,784 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 74/589, 40/784?
Answer: LCM of Numerators as per given numbers 74/589, 40/784 is
LCM of Numerators i.e. for 74,40 is 1480
GCF of denominators i.e. for 589,784 is 1.
Thus, LCM of Fractions is 1480.Finally, LCM of Fractions for 74/589, 40/784 is 1480.