Question

Найдите: НОК(40;30) Нод;(12;48)

Answer 1

Нок 120
нод 12 это очень легко

Answer 2

НОК(40,30)=120
НОД(12,48)=12

Answer 3

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

To calculate the Least Common Multiple (LCM) and Greatest Common Divisor (GCD) of the given numbers, we can use the following formulas:

Least Common Multiple (LCM): The LCM of two numbers can be calculated using the formula: LCM(a, b) = (a * b) / GCD(a, b)

Greatest Common Divisor (GCD): The GCD of two numbers can be calculated using various methods, such as prime factorization, Euclidean algorithm, or using the formula: GCD(a, b) = a * b / LCM(a, b)

Let's calculate the LCM and GCD for the given numbers.

Calculating LCM(40, 30)

The LCM of 40 and 30 can be calculated using the formula: LCM(40, 30) = (40 * 30) / GCD(40, 30)

Now, let's calculate the GCD of 40 and 30.

Calculating GCD(40, 30): From the provided snippet, we can see the prime factorization of 40 and 30: 40 = 2 * 2 * 2 * 5 30 = 2 * 3 * 5

The common prime factors are 2 and 5. Therefore, the GCD of 40 and 30 is: GCD(40, 30) = 2 * 5 = 10

Now, we can calculate the LCM using the formula: LCM(40, 30) = (40 * 30) / GCD(40, 30) = (40 * 30) / 10 = 120

So, LCM(40, 30) = 120.

Calculating GCD(12, 48)

The GCD of 12 and 48 can be calculated using the formula: GCD(12, 48) = 12 * 48 / LCM(12, 48)

Now, let's calculate the LCM of 12 and 48.

Calculating LCM(12, 48): From the provided snippet, we can see the prime factorization of 12 and 48: 12 = 2 * 2 * 3 48 = 2 * 2 * 2 * 2 * 3

The common prime factors are 2 and 3. Therefore, the LCM of 12 and 48 is: LCM(12, 48) = 2 * 2 * 2 * 2 * 3 = 48

Now, we can calculate the GCD using the formula: GCD(12, 48) = 12 * 48 / LCM(12, 48) = 12 * 48 / 48 = 12

So, GCD(12, 48) = 12.