Question

297. Найдите наименьшее общее кратное чисел удобным способом:


1) 6 и 8;


3) 9 и 15;


5) 6 и 10;


7) 5, 16 и 20;


9) 10, 14 и 35

Answer 1

6 и 8: НОК(6, 8) = 24.

9 и 15: НОК(9, 15) = 45.

6 и 10: НОК(6, 10) = 30.

5, 16 и 20: НОК(5, 16, 20) = 80.

10, 14 и 35: НОК(10, 14, 35) = 70.

Answer 2

6 и 8;

6 = 2 * 3

8 = 2 * 2 * 2

НОК(6, 8) = 2 * 2 * 2 * 3 = 24

9 и 15;

9 = 3 * 3

15 = 3 * 5

НОК(9, 15) = 3 * 3 * 5 = 45

6 и 10;

6 = 2 * 3

10 = 2 * 5

НОК(6, 10) = 2 * 3 * 5 = 30

5, 16 и 20;

5 = 5

16 = 2 * 2 * 2 * 2

20 = 2 * 2 * 5

НОК(5, 16, 20) = 2 * 2 * 2 * 2 * 5 = 80

10, 14 и 35

10 = 2 * 5

14 = 2 * 7

35 = 5 *7

НОК(10,14,35) = 2 57= 70