Question

302. 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; B 5) 25, 75 и 150; 6) 54, 90 и 135. чётные​

Answer 1

1). 28 = 2 * 2 * 7;

35 = 5 * 7;

70 = 2 * 5 * 7;

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

2) 18 = 2 * 3 * 3;

24 = 2 * 2 * 2 * 3;

27 = 3 * 3 * 3;

НОК (18; 24; 27) = 3 * 3 * 3 * 2 * 2 * 2 = 216.

3) 36 = 2 * 2 * 3 * 3;

54 = 2 * 3 * 3 * 3;

81 = 3 * 3 * 3 * 3;

НОК (36; 54; 81) = 3 * 3 * 3 * 3 * 2 * 2 = 324.

4) 88 = 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 = 5 * 5;

75 = 3 * 5 * 5;

150 = 2 * 3 * 5 * 5;

НОК (25; 75; 150) = 2 * 3 * 5 * 5 = 150.

6) 54 = 2 * 3 * 3 * 3;

90 = 2 * 3 * 3 * 5;

135 = 3 * 3 * 3 * 5;

НОК (54; 90; 135) = 3 * 3 * 3 * 5 * 2 = 270.