Question

Найдите НОК для чисел 380 и 315 18 и 81,415 и 250,320 и 270, 248 и 640.

Answer 1

380 и 315
380 = 2 * 2 * 5 * 19 = 2² * 5 * 19
315 = 3 * 3 * 5 * 7 = 3² * 5 * 7
НОК = 2² * 3² * 5 * 7 * 19 = 23 940

18 и 81
18 = 2 * 3 * 3 = 2 * 3²
81 = 3 * 3 * 3 * 3 = 3⁴
НОК = 2 * 3⁴ = 162

415 и 250
415 = 5 * 83
250 = 2 * 5 * 5 * 5 = 2 * 5³
НОК = 2 * 5³ * 83 = 20 750

320 и 270
320 = 2 * 2 * 2 * 2 * 2 * 2 * 5 = 2⁶ * 5
270 = 2 * 3 * 3 * 3 * 5 = 2 * 3³ * 5
НОК = 2⁶ * 3³ * 5 = 8 640

248 и 640
248 = 2 * 2 * 2 * 31 = 2³ * 31
640 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 5 = 2⁷ * 5
НОК = 2⁷ * 5 * 31 = 19 840