Question

НОК(15,20) НОК(36,25)

Answer 1

НОК 15,20 НОК равен 60
НОК 36 25. 900

Answer 2

To find the least common multiple (LCM) of two numbers, you can use the formula:

LCM(a, b) = (a * b) / GCD(a, b)

where a and b are the numbers for which you want to find the LCM, and GCD(a, b) represents the greatest common divisor of a and b.

Let's calculate the LCM for the given numbers:

1. LCM(15, 20): To find the LCM of 15 and 20, we first need to find their GCD.

GCD(15, 20): To find the GCD, we can use the Euclidean algorithm.

20 = 15 * 1 + 5 15 = 5 * 3 + 0

Since the remainder is 0, the GCD(15, 20) = 5.

Now, we can calculate the LCM using the formula:

LCM(15, 20) = (15 * 20) / GCD(15, 20) = (15 * 20) / 5 = 300 / 5 = 60

Therefore, the LCM of 15 and 20 is 60.

2. LCM(36, 25): Again, we need to find the GCD of 36 and 25.

GCD(36, 25): Using the Euclidean algorithm:

36 = 25 * 1 + 11 25 = 11 * 2 + 3 11 = 3 * 3 + 2 3 = 2 * 1 + 1 2 = 1 * 2 + 0

The remainder is 0, so the GCD(36, 25) = 1.

Now, let's calculate the LCM:

LCM(36, 25) = (36 * 25) / GCD(36, 25) = (36 * 25) / 1 = 900

Therefore, the LCM of 36 and 25 is 900.