Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/397, 27/465, 177/464 quickly i.e. 12744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/397, 27/465, 177/464 is 12744.
LCM(72/397, 27/465, 177/464) = 12744
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/397,27/465,177/464
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 72,27,177
Least Common Multiple of Numerators i.e. LCM of 72,27,177 is 12744.
GCF of Denominators means GCF of 397,465,464 as per the given fractions.
GCF of 397,465,464 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,27,177
3 | 72, 27, 177 |
3 | 24, 9, 59 |
8, 3, 59 |
∴ So the LCM of the given numbers is 3 x 3 x 8 x 3 x 59 = 12744
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 72,27,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,27,177) = 3
common factors(in case of two or more numbers have common factors) = 9
GCF(72,27,177) x common factors =3 x 9 = 27
LCM(72,27,177) = ( 72 × 27 × 177 ) / 27
LCM(72,27,177) = 344088 / 27
LCM(72,27,177) = 12744
Lets's calculate GCF of 397,465,464
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12744/1
Therefore the LCM of Fractions 72/397,27/465,177/464 is 12744
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Greatest Common Factor
We found the factors 397,465,464 . The biggest common factor number is the GCF number.
So the greatest common factor 397,465,464 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 72/397, 27/465, 177/464?
Answer: LCM of Numerators as per given numbers 72/397, 27/465, 177/464 is
LCM of Numerators i.e. for 72,27,177 is 12744
GCF of denominators i.e. for 397,465,464 is 1.
Thus, LCM of Fractions is 12744.Finally, LCM of Fractions for 72/397, 27/465, 177/464 is 12744.