Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 720/27, 694/41, 555/469 quickly i.e. 9244080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 720/27, 694/41, 555/469 is 9244080.
LCM(720/27, 694/41, 555/469) = 9244080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 720/27,694/41,555/469
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 720,694,555
Least Common Multiple of Numerators i.e. LCM of 720,694,555 is 9244080.
GCF of Denominators means GCF of 27,41,469 as per the given fractions.
GCF of 27,41,469 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 720,694,555
2 | 720, 694, 555 |
3 | 360, 347, 555 |
5 | 120, 347, 185 |
24, 347, 37 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 24 x 347 x 37 = 9244080
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 720,694,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,694,555) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(720,694,555) x common factors =1 x 30 = 30
LCM(720,694,555) = ( 720 × 694 × 555 ) / 30
LCM(720,694,555) = 277322400 / 30
LCM(720,694,555) = 9244080
Lets's calculate GCF of 27,41,469
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9244080/1
Therefore the LCM of Fractions 720/27,694/41,555/469 is 9244080
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 469
List of positive integer factors of 469 that divides 469 without a remainder.
1,7,67,469
Greatest Common Factor
We found the factors 27,41,469 . The biggest common factor number is the GCF number.
So the greatest common factor 27,41,469 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 720/27, 694/41, 555/469?
Answer: LCM of Numerators as per given numbers 720/27, 694/41, 555/469 is
LCM of Numerators i.e. for 720,694,555 is 9244080
GCF of denominators i.e. for 27,41,469 is 1.
Thus, LCM of Fractions is 9244080.Finally, LCM of Fractions for 720/27, 694/41, 555/469 is 9244080.