Question

НОК(72,180)+НОД (96,192)=?

Answer 1

Ответ:

360+96=456

Пошаговое объяснение:

Answer 2

To calculate the sum of the least common multiple (LCM) and greatest common divisor (GCD) of two numbers, 72 and 180, you can follow these steps:

Step 1: Calculate the LCM of 72 and 180. First, find the prime factorizations of both numbers:

• 72 = 2^3 * 3^2
• 180 = 2^2 * 3^2 * 5

Then, take the highest power of each prime factor that appears in either number's factorization:

• LCM = 2^3 * 3^2 * 5 = 360

Step 2: Calculate the GCD of 96 and 192. Find the prime factorizations:

• 96 = 2^5 * 3
• 192 = 2^6 * 3

Take the lowest power of each prime factor that appears in both numbers' factorizations:

• GCD = 2^5 * 3 = 96

Step 3: Add the LCM and GCD:

• LCM + GCD = 360 + 96 = 456

So, the result of adding the LCM and GCD of 72 and 180 is 456.