Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/681, 57/732, 432/593 quickly i.e. 41040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/681, 57/732, 432/593 is 41040.
LCM(80/681, 57/732, 432/593) = 41040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/681,57/732,432/593
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 80,57,432
Least Common Multiple of Numerators i.e. LCM of 80,57,432 is 41040.
GCF of Denominators means GCF of 681,732,593 as per the given fractions.
GCF of 681,732,593 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,57,432
2 | 80, 57, 432 |
2 | 40, 57, 216 |
2 | 20, 57, 108 |
2 | 10, 57, 54 |
3 | 5, 57, 27 |
5, 19, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 19 x 9 = 41040
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 80,57,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,57,432) = 1
common factors(in case of two or more numbers have common factors) = 48
GCF(80,57,432) x common factors =1 x 48 = 48
LCM(80,57,432) = ( 80 × 57 × 432 ) / 48
LCM(80,57,432) = 1969920 / 48
LCM(80,57,432) = 41040
Lets's calculate GCF of 681,732,593
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41040/1
Therefore the LCM of Fractions 80/681,57/732,432/593 is 41040
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1,3,227,681
Factors of 732
List of positive integer factors of 732 that divides 732 without a remainder.
1,2,3,4,6,12,61,122,183,244,366,732
Factors of 593
List of positive integer factors of 593 that divides 593 without a remainder.
1,593
Greatest Common Factor
We found the factors 681,732,593 . The biggest common factor number is the GCF number.
So the greatest common factor 681,732,593 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 80/681, 57/732, 432/593?
Answer: LCM of Numerators as per given numbers 80/681, 57/732, 432/593 is
LCM of Numerators i.e. for 80,57,432 is 41040
GCF of denominators i.e. for 681,732,593 is 1.
Thus, LCM of Fractions is 41040.Finally, LCM of Fractions for 80/681, 57/732, 432/593 is 41040.