Question

НОК(40;56),(7425;4455)

Answer 1

НОК(40;56) - 280
НОК(7425;4455) - 22 275

Если хочешь, я могу отправить в личные сообщения ссылку на калькулятор НОК и НОД

Answer 2

1-280 ,2-22.275 вот так как-то постаралась решить

Answer 3

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

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

Here, GCD represents the greatest common divisor of the two numbers. To calculate the GCD, we can use the Euclidean algorithm.

Using the given points (40, 56) and (7425, 4455), we can find the LCM of their x-coordinates and the LCM of their y-coordinates.

For the x-coordinates: a = 40, b = 7425 GCD(40, 7425) = GCD(40, 7425 - 40 * (7425 // 40)) = GCD(40, 7425 - 40 * 185) = GCD(40, 7425 - 7400) = GCD(40, 25) = GCD(25, 40 - 25) = GCD(25, 15) = GCD(15, 25 - 15) = GCD(15, 10) = GCD(10, 15 - 10) = GCD(10, 5) = GCD(5, 10 - 2 * 5) = GCD(5, 0) = 5

LCM(40, 7425) = (40 * 7425) / GCD(40, 7425) = (40 * 7425) / 5 = 297,000

For the y-coordinates: a = 56, b = 4455 GCD(56, 4455) = GCD(56, 4455 - 56 * (4455 // 56)) = GCD(56, 4455 - 56 * 79) = GCD(56, 4455 - 4432) = GCD(56, 23) = GCD(23, 56 - 23) = GCD(23, 33) = GCD(33 - 23, 23) = GCD(10, 23) = GCD(10, 23 - 10 * 2) = GCD(10, 3) = GCD(3, 10 - 3 * 3) = GCD(3, 1) = GCD(1, 3) = 1

LCM(56, 4455) = (56 * 4455) / GCD(56, 4455) = (56 * 4455) / 1 = 249,480

Therefore, the least common multiple of the x-coordinates is 297,000, and the least common multiple of the y-coordinates is 249,480.