Найдите наименьшее общее кратное чисел:
1) 60; 24; 36;
2) 30; 45; 105;
3)80; 88; 220;
4) 36; 90; 200;
5) 56; 140; 350;
6) 72; 108; 144;
7) 90; 60; 135;
8) 100; 80; 120;
9) 35; 68; 187.

1) 60; 24; 3660 = 2*2*3*5 = 2² *3*524 = 2*2*2*3 = 2³ *336 = 2*2*3*3 = 2² * 3²НОК (60; 24; 36) = 2² *3*5*2*3 = 3602) 30; 45; 10530 = 2*3*545 = 3*3*5 = 3² *5105 = 3*5*7НОК (30; 45; 105) = 3*5*7*2*3 = 6303) 80; 88; 22080 = 2*2*2*2*5 = 2⁴ *588 = 2*2*2*11 = 2³ *11220 = 2*2*5*11 = 2² *5*11НОК (80; 88; 220) = 2² *5*11*2² = 8804) 36; 90; 20036 = 2*2*3*3 = 2² * 3²90 = 2*3*3*5 = 2*3² *5200 = 2*2*2*5*5 = 2³ *5²НОК (36; 90; 200) = 2³ * 5² * 3² = 18005) 56; 140; 35056 = 2*2*2*7 = 2³ *7140 = 2*2*5*7 = 2² *5*7350 = 2*5*5*7 = 2*5² *7НОК (56; 140; 350) = 2*5² *7 *2² = 14006) 72; 108; 14472 = 2*2*2*3*3 = 2³ * 3²108 = 2*2*3*3*3 = 2² * 3³144 = 2*2*2*2*3*3 = 2⁴ *3²НОК (72; 108; 144) = 2⁴ *3² *3 = 432 7) 90; 60; 13590 = 2*3*3*5 = 2*3² *560 = 2*2*3*5 = 2² *3*5135 = 3*3*3*5 = 3³ *5НОК (90; 60; 135) = 3³ *5 *2² = 5408) 100; 80; 120100 = 2*2*5*5 = 2² *5²80 = 2*2*2*2*5 = 2⁴ *5120 = 2*2*2*3*5 = 2³ *3*5НОК (100; 80; 120) = 2³ *3*5 *5*2 =12009) 35; 68; 18735 = 5*768 = 2*2*17 = 2² *17187 = 11*17НОК (35; 68; 187) = 11*17*2² * 5*7 = 26180