Question

ПОДРОБНО....НАЙДИТЕ НАИМЕНЬШЕЕ ОБЩЕЕ КРАТНОЕ ДАННЫХ ЧИСЕЛ И ВСТАВЬТЕ ЕГО ВМЕСТО ЗВЕЗДОЧКИ НОК(242424,181818)

Answer 1

242424 = 2³ · 3² · 7 · 13 · 37
181818 = 2 · 3³ · 7 · 13 · 37
Наименьшее общее кратное = 2³ · 3³ · 7 · 13 · 37 = 727272

Answer 2

Finding the Least Common Multiple (LCM) of Two Numbers

To find the least common multiple (LCM) of two numbers, we can use the prime factorization method. First, we find the prime factorization of each number, then we take the highest power of all prime factors involved. Let's calculate the LCM of 242424 and 181818.

The prime factorization of 242424 is: - 2^3 * 3 * 10101

The prime factorization of 181818 is: - 2 * 3^2 * 10101

To find the LCM, we take the highest power of all prime factors involved: - LCM(242424, 181818) = 2^3 * 3^2 * 10101 = 242424

The least common multiple (LCM) of 242424 and 181818 is 242424.