Question

2. Найдите наименьшее общее кратное чисел:
1) 28, 35 и 70;
2) 18, 24 и 27;
3) 36, 54 и 81,
4) 88, 132 и 264;
5) 25, 75 и 150;
6) 54, 90 и 135​

Answer 1

Ответ:

Пошаговое объяснение:

1)

28 =2 × 2 × 7

35 = 5 × 7

70 = 2 × 5 × 7

НОК ( 28; 35; 70) = 2 × 2 × 5 × 7 = 140

2) 18, 24 и 27;

18 = 2 × 3 × 3

24 = 2 × 2 ×2 × 3

27 = 3 × 3 × 3

НОК ( 18; 24; 27) = 2 × 2 ×2 × 3 × 3 × 3 = 216

3) 36, 54 и 81,

36 = 2 × 2 × 3 × 3

54 = 2 × 3 × 3 × 3

81 = 3 × 3 × 3 × 3

НОК (36, 54, 81,) = 2 × 2 × 3 × 3 × 3 × 3 = 324

4) 88, 132 и 264;

88 = 2 × 2 ×2 × 11

132 = 2 × 2 × 3 × 11

264  = 2 × 2 × 2 × 3 × 11

НОК (88, 132, 264) = 2 × 2 × 2 × 3 × 11 = 264

5) 25, 75 и 150;

25 = 5 × 5

75 = 3 × 5 × 5

150 = 2 × 3 × 5 × 5

НОК (25, 75, 150) =  2 × 3 × 5 × 5 = 150

6) 54, 90 и 135​

54 = 2 × 3 × 3 × 3

90 = 2 × 3 × 3 × 5

135 = 3 × 3 × 3 × 5

НОК ( 54, 90, 135​) = 2 × 3 × 3 × 3 × 5 = 270