Question

НОК(242424,181818)???

Answer 1

Разложим на множители и найдем НОК:

242 424 = 2 * 121 212 = 2 * 2 * 60 606 = 2 * 2 * 2 * 30 303 = 2 * 2 * 2 * 3 * 10 101;

181 818 = 2 * 90 909 = 2 * 3 * 30 303 = 2 * 3 * 3 * 10 101;

(10 101 - число составное но дальше раскладывать на множители не обязательно)

НОК (242 424, 181 818) = НОК (2 * 2 * 2 * 3 * 10 101, 2 * 3 * 3 * 10 101) =

= (2 * 3 * 10 101) * 2 * 2 * 3 = 60 606 * 12 = 727 272;

727 272 - наименьшее общее кратное чисел 242 424 и 181 818;

Ответ: 727 272.

Answer 2

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

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

where GCD(a, b) represents the greatest common divisor of the two numbers.

To calculate the LCM of 242424 and 181818, we need to determine their GCD first. The most efficient way to find the GCD is by using the Euclidean algorithm.

Using the Euclidean algorithm:

1. Divide 242424 by 181818:

   • 242424 ÷ 181818 = 1 remainder 60606

2. Divide 181818 by 60606:

   • 181818 ÷ 60606 = 3 remainder 0

Since we obtained a remainder of 0, the GCD of 242424 and 181818 is 60606.

Now we can calculate the LCM:

LCM(242424, 181818) = (242424 * 181818) / GCD(242424, 181818) = (44085841112) / 60606 = 726.

Therefore, the LCM of 242424 and 181818 is 726.