№ 1. Найдите: 1) НОК (14, 35); 2) НОК (10, 30); 3) НОК (8, 21); 4) НОК (36, 54); 5) НОК (630, 54); 6) НОК (12, 16, 18).

1) НОК(14, 35)
14 = 2 × 7
35 = 5 × 7
НОК(14, 35) = 2 × 5 × 7 = 70
2) НОК(10, 30)
10 = 2 × 5
30 = 2 × 3 × 5
НОК(10, 30) = 2 × 3 × 5 = 30
3) НОК(8, 21)
8 = 2 × 2 × 2
21 = 3 × 7
НОК(8, 21) = 2 × 2 × 2 × 3 × 7 = 168
4) НОК(36, 54)
36 = 2 × 2 × 3 × 3
54 = 2 × 3 × 3 × 3
НОК(36, 54) = 2 × 2 × 3 × 3 × 3 = 108
5) НОК(630, 54)
630 = 2 × 3 × 3 × 5 × 7
54 = 2 × 3 × 3 × 3
НОК(630, 54) = 2 × 3 × 3 × 3 × 5 × 7 = 1890
6) НОК(12, 16, 18)
12 = 2 × 2 × 3
16 = 2 × 2 × 2 × 2
18 = 2 × 3 × 3
НОК(12, 16, 18) = 2 × 2 × 2 × 2 × 3 × 3 = 144
Ответ: 1) 70; 2) 30; 3) 168; 4) 108; 5) 1890; 6) 144