Найдите наименьшее общее кратное чисел,разложив их на простые множители : 21 и 18; 24 и 32; 16 и 20; 20 и 35; 75 и 90; 6 и 13; 14 и 18; 28 и 42; 21 и 33; 12,30 и 75; 15,42 и 105; 21,28 и 35.

21 = 7 * 3 18 = 2 * 3 * 3 = 2 * 3² НОК (21 и 18) = 7 * 2 * 3² = 14 * 9 = 126 24 = 3 * 2³ 32 = 7 * 2² НОК (24 и 32) = 3 * 7 * 2³ = 21 * 8 = 168 16 = 2⁴ 20 = 5 * 2² НОК (16 и 20) = 2⁴ * 5 = 16 * 5 = 80 20 = 5 * 2² 35 = 5 * 7 НОК (20 и 35) = 5 * 7 * 2² = 35 * 4 = 140 75 = 3 * 5² 90 = 2 * 3 * 3 * 5 = 2 * 5 * 3² НОК (75 и 90) = 5² * 3² * 2 = 25 * 9 * 2 = 450 6 = 2 * 3 13 = 13 * 1 НОК (6 и 13) = 6 * 13 = 78 14 = 2 * 7 18 = 2 * 2 * 3 = 2² * 3 НОК (14 и 18) = 2² * 7 * 3 = 4 * 21 = 84 28 = 7 * 2² 42 = 7 * 2 * 3 НОК (28 и 42) = 7 * 2² * 3 = 21 * 4 = 84 21 = 7 * 3 33 = 3 * 11 НОК (21 и 33) = 7 * 3 * 11 = 7 * 33 = 231 12 = 2 * 2 * 3 = 2² * 3 30 = 2 * 3 * 5 75 = 3 * 5² НОК (12, 30 и 75) = 2² * 3 * 5² = 4 * 3 * 25 = 12 * 25 = 300 15 = 3 * 5 42 = 7 * 2 * 3 105 = 3 * 5 * 7 НОК (15, 42 и 105) = 3 * 5 * 2 * 7 = 210 21 = 3 * 7 28 = 2² * 7 35 = 5 * 7 НОК (21,28 и 42) = 7 * 3 * 5 * 2² = 420

21 = 7 * 3 18 = 2 * 3 * 3 = 2 * 3 НОК (21 и 18) = 7 * 2 * 3² = 14 * 9 = 126 24 = 3 * 2 32 = 7 * 2 НОК (24 и 32) = 3 * 7 * 2³ = 21 * 8 = 168 16 = 2*8 20 = 5 * 2 НОК (16 и 20) = 2⁴ * 5 = 16 * 5 = 80 20 = 5 * 2 35 = 5 * 7 НОК (20 и 35) = 5 * 7 * 2² = 35 * 4 = 140 75 = 3 * 5 90 = 2 * 3 * 3 * 5 = 2 * 5 * 3 НОК (75 и 90) = 5* 3 * 2 = 25 * 9 * 2 = 450 6 = 2 * 3 13 = 13 * 1 НОК (6 и 13) = 6 * 13 = 78 14 = 2 * 7 18 = 2 * 2 * 3 = 2 * 3 НОК (14 и 18) = 2* 7 * 3 = 4 * 21 = 84 28 = 7 * 2 42 = 7 * 2 * 3 НОК (28 и 42) = 7 * 2² * 3 = 21 * 4 = 84 21 = 7 * 3 33 = 3 * 11 НОК (21 и 33) = 7 * 3 * 11 = 7 * 33 = 231 12 = 2 * 2 * 3 = 2* 3 30 = 2 * 3 * 5 75 = 3 * 5 НОК (12, 30 и 75) = 2² * 3 * 5² = 4 * 3 * 25 = 12 * 25 = 300 15 = 3 * 5 42 = 7 * 2 * 3 105 = 3 * 5 * 7 НОК (15, 42 и 105) = 3 * 5 * 2 * 7 = 210 21 = 3 * 7 28 = 2 * 7 35 = 5 * 7 НОК (21,28 и 42) = 7 * 3 * 5 * 2= 420