Question

0бчисли НСК(198,132)-НСД(198,132,330)= Можна в розгорнутій формі

Answer 1

Відповідь:

нск 396

нсд 66

Покрокове пояснення:

Answer 2

Calculating the Difference Between the Least Common Multiple (LCM) and the Greatest Common Divisor (GCD)

To calculate the difference between the least common multiple (LCM) and the greatest common divisor (GCD) of three numbers, we can follow these steps:

1. First, find the LCM of the given numbers. 2. Next, find the GCD of the given numbers. 3. Finally, subtract the GCD from the LCM to obtain the difference.

Let's proceed with the calculation using the given numbers:

1. Finding the LCM of 198, 132, and 330: - The LCM of a set of numbers is the smallest multiple that is exactly divisible by each of the numbers. To find the LCM, we can use the prime factorization method or the method of listing multiples.

2. Finding the GCD of 198, 132, and 330: - The GCD of a set of numbers is the largest positive integer that divides each of the numbers without leaving a remainder. We can use methods such as prime factorization, Euclid's algorithm, or the method of listing factors to find the GCD.

3. Calculating the Difference: - Once we have the LCM and the GCD, we can subtract the GCD from the LCM to obtain the difference.

Let's calculate the LCM and GCD of 198, 132, and 330 and then find the difference between them.

Calculation

1. Finding the LCM of 198, 132, and 330: - The LCM of 198, 132, and 330 is 660.

2. Finding the GCD of 198, 132, and 330: - The GCD of 198, 132, and 330 is 66.

3. Calculating the Difference: - The difference between the LCM and the GCD is 660 - 66 = 594.

Therefore, the difference between the LCM(198, 132, 330) and the GCD(198, 132, 330) is 594.