Python program to find LCM of the given 3 numbers

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Table of Contents

Code for python program to find LCM of the given 3 numbers

def lcm(a, b, c):
    # Find the greatest common divisor of the three numbers
    def gcd(x, y):
        while y:
            x, y = y, x % y
        return x

    # Find the LCM of the three numbers
    lcm = (a*b*c)//(gcd(a,gcd(b,c)))
    return lcm

# Test the function
print(lcm(5, 7, 9))

Output

315

Explanation

The program defines a function lcm that takes in three numbers as arguments (a, b, and c). Inside the lcm function, there is another function called gcd which finds the greatest common divisor of two numbers by using Euclidean algorithm.

Then LCM is calculated using the formula (abc)//(gcd(a,gcd(b,c))) which ensures the LCM is found of 3 numbers by the concept of transitive property of GCD and LCM.

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