нок (наименьшее общее кратное) 50 и 64
наименьшим общим кратным (нок) 50 и 64 называется наименьшее натуральное число, которое само делится нацело на каждое из этих чисел (50 и 64).
как найти наименьшее общее кратное для 50 и 64
разложим на простые множители 50
50 = 2 • 5 • 5
разложим на простые множители 64
64 = 2 • 2 • 2 • 2 • 2 • 2
выберем в разложении меньшего числа (50) множители, которые не вошли в разложение в числе 64
5 , 5
добавим эти множители в разложение бóльшего числа
2 , 2 , 2 , 2 , 2 , 2 , 5 , 5
полученное произведение запишем в ответ.
нок (50, 64) = 2 • 2 • 2 • 2 • 2 • 2 • 5 • 5 = 1600
ответ: нок (50, 64) = 1600
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