Наименьшее общее кратное (НОК) для 25 и 50

Первый способ нахождения НОК для чисел 25 и 50 - через нахождение наибольшего общего делителя (НОД) этих чисел. Формула:

НОК = (Число1 × Число2) ÷ НОД

НОД чисел 25 и 50 равняется 25, следовательно

НОК = (25 × 50) ÷ 25

НОК = 1250 ÷ 25

НОК = 50

Второй способ нахождения НОК для чисел 25 и 50 заключается в перечислении всех кратных для обоих чисел и выбор первого совпадающего:

Кратные числа 25: 25, 50, 75, 100

Кратные числа 50: 50, 100, 150, 200, 250, 300, 350, 400, 450, 500, 550, 600, 650, 700, 750, 800, 850, 900, 950, 1000, 1050, 1100, 1150, 1200, 1250, 1300, 1350, 1400, 1450, 1500, 1550, 1600, 1650, 1700, 1750, 1800, 1850, 1900, 1950, 2000, 2050, 2100, 2150, 2200, 2250, 2300, 2350, 2400, 2450, 2500, 2550, 2600, 2650, 2700, 2750, 2800, 2850, 2900, 2950, 3000, 3050, 3100, 3150, 3200, 3250, 3300, 3350, 3400, 3450, 3500, 3550, 3600, 3650, 3700, 3750, 3800, 3850, 3900, 3950, 4000, 4050, 4100, 4150, 4200, 4250, 4300, 4350, 4400, 4450, 4500, 4550, 4600, 4650, 4700, 4750, 4800, 4850, 4900, 4950, 5000, 5050, 5100, 5150, 5200, 5250, 5300, 5350, 5400, 5450, 5500, 5550, 5600, 5650, 5700, 5750, 5800, 5850, 5900, 5950, 6000, 6050, 6100, 6150, 6200, 6250, 6300, 6350, 6400, 6450, 6500, 6550, 6600, 6650, 6700, 6750, 6800, 6850, 6900, 6950, 7000, 7050, 7100, 7150, 7200, 7250, 7300, 7350, 7400, 7450, 7500, 7550, 7600, 7650, 7700, 7750, 7800, 7850, 7900, 7950, 8000, 8050, 8100, 8150, 8200, 8250, 8300, 8350, 8400, 8450, 8500, 8550, 8600, 8650, 8700, 8750, 8800, 8850, 8900, 8950, 9000, 9050, 9100, 9150, 9200, 9250, 9300, 9350, 9400, 9450, 9500, 9550, 9600, 9650, 9700, 9750, 9800, 9850, 9900, 9950, 10000, 10050, 10100, 10150, 10200, 10250, 10300, 10350, 10400, 10450, 10500, 10550, 10600, 10650, 10700, 10750, 10800, 10850, 10900, 10950, 11000, 11050, 11100, 11150, 11200, 11250, 11300, 11350, 11400, 11450, 11500, 11550, 11600, 11650, 11700, 11750, 11800, 11850, 11900, 11950, 12000, 12050, 12100, 12150, 12200, 12250, 12300, 12350, 12400, 12450, 12500, 12550, 12600, 12650, 12700, 12750, 12800, 12850, 12900, 12950, 13000, 13050, 13100, 13150, 13200, 13250, 13300, 13350, 13400, 13450, 13500, 13550, 13600, 13650, 13700, 13750, 13800, 13850, 13900, 13950, 14000, 14050, 14100, 14150, 14200, 14250, 14300, 14350, 14400, 14450, 14500, 14550, 14600, 14650, 14700, 14750, 14800, 14850, 14900, 14950, 15000, 15050, 15100, 15150, 15200, 15250, 15300, 15350, 15400, 15450, 15500, 15550, 15600, 15650, 15700, 15750, 15800, 15850, 15900, 15950, 16000, 16050, 16100, 16150, 16200, 16250, 16300, 16350, 16400, 16450, 16500, 16550, 16600, 16650, 16700, 16750, 16800, 16850, 16900, 16950, 17000, 17050, 17100, 17150, 17200, 17250, 17300, 17350, 17400, 17450, 17500, 17550, 17600, 17650, 17700, 17750, 17800, 17850, 17900, 17950, 18000, 18050, 18100, 18150, 18200, 18250, 18300, 18350, 18400, 18450, 18500, 18550, 18600, 18650, 18700, 18750, 18800, 18850, 18900, 18950, 19000, 19050, 19100, 19150, 19200, 19250, 19300, 19350, 19400, 19450, 19500, 19550, 19600, 19650, 19700, 19750, 19800, 19850, 19900, 19950, 20000, 20050, 20100, 20150, 20200, 20250, 20300, 20350, 20400, 20450, 20500, 20550, 20600, 20650, 20700, 20750, 20800, 20850, 20900, 20950, 21000, 21050, 21100, 21150, 21200, 21250, 21300, 21350, 21400, 21450, 21500, 21550, 21600, 21650, 21700, 21750, 21800, 21850, 21900, 21950, 22000, 22050, 22100, 22150, 22200, 22250, 22300, 22350, 22400, 22450, 22500, 22550, 22600, 22650, 22700, 22750, 22800, 22850, 22900, 22950, 23000, 23050, 23100, 23150, 23200, 23250, 23300, 23350, 23400, 23450, 23500, 23550, 23600, 23650, 23700, 23750, 23800, 23850, 23900, 23950, 24000, 24050, 24100, 24150, 24200, 24250, 24300, 24350, 24400, 24450, 24500, 24550, 24600, 24650, 24700, 24750, 24800, 24850, 24900, 24950, 25000, 25050, 25100, 25150, 25200, 25250, 25300, 25350, 25400, 25450, 25500, 25550, 25600, 25650, 25700, 25750, 25800, 25850, 25900, 25950, 26000, 26050, 26100, 26150, 26200, 26250, 26300, 26350, 26400, 26450, 26500, 26550, 26600, 26650, 26700, 26750, 26800, 26850, 26900, 26950, 27000, 27050, 27100, 27150, 27200, 27250, 27300, 27350, 27400, 27450, 27500, 27550, 27600, 27650, 27700, 27750, 27800, 27850, 27900, 27950, 28000, 28050, 28100, 28150, 28200, 28250, 28300, 28350, 28400, 28450, 28500, 28550, 28600, 28650, 28700, 28750, 28800, 28850, 28900, 28950, 29000, 29050, 29100, 29150, 29200, 29250, 29300, 29350, 29400, 29450, 29500, 29550, 29600, 29650, 29700, 29750, 29800, 29850, 29900, 29950, 30000, 30050, 30100, 30150, 30200, 30250, 30300, 30350, 30400, 30450, 30500, 30550, 30600, 30650, 30700, 30750, 30800, 30850, 30900, 30950, 31000, 31050, 31100, 31150, 31200, 31250, 31300, 31350, 31400, 31450, 31500, 31550, 31600, 31650, 31700, 31750, 31800, 31850, 31900, 31950, 32000, 32050, 32100, 32150, 32200, 32250, 32300, 32350, 32400, 32450, 32500, 32550, 32600, 32650, 32700, 32750, 32800, 32850, 32900, 32950, 33000, 33050, 33100, 33150, 33200, 33250, 33300, 33350, 33400, 33450, 33500, 33550, 33600, 33650, 33700, 33750, 33800, 33850, 33900, 33950, 34000, 34050, 34100, 34150, 34200, 34250, 34300, 34350, 34400, 34450, 34500, 34550, 34600, 34650, 34700, 34750, 34800, 34850, 34900, 34950, 35000, 35050, 35100, 35150, 35200, 35250, 35300, 35350, 35400, 35450, 35500, 35550, 35600, 35650, 35700, 35750, 35800, 35850, 35900, 35950, 36000, 36050, 36100, 36150, 36200, 36250, 36300, 36350, 36400, 36450, 36500, 36550, 36600, 36650, 36700, 36750, 36800, 36850, 36900, 36950, 37000, 37050, 37100, 37150, 37200, 37250, 37300, 37350, 37400, 37450, 37500, 37550, 37600, 37650, 37700, 37750, 37800, 37850, 37900, 37950, 38000, 38050, 38100, 38150, 38200, 38250, 38300, 38350, 38400, 38450, 38500, 38550, 38600, 38650, 38700, 38750, 38800, 38850, 38900, 38950, 39000, 39050, 39100, 39150, 39200, 39250, 39300, 39350, 39400, 39450, 39500, 39550, 39600, 39650, 39700, 39750, 39800, 39850, 39900, 39950, 40000, 40050, 40100, 40150, 40200, 40250, 40300, 40350, 40400, 40450, 40500, 40550, 40600, 40650, 40700, 40750, 40800, 40850, 40900, 40950, 41000, 41050, 41100, 41150, 41200, 41250, 41300, 41350, 41400, 41450, 41500, 41550, 41600, 41650, 41700, 41750, 41800, 41850, 41900, 41950, 42000, 42050, 42100, 42150, 42200, 42250, 42300, 42350, 42400, 42450, 42500, 42550, 42600, 42650, 42700, 42750, 42800, 42850, 42900, 42950, 43000, 43050, 43100, 43150, 43200, 43250, 43300, 43350, 43400, 43450, 43500, 43550, 43600, 43650, 43700, 43750, 43800, 43850, 43900, 43950, 44000, 44050, 44100, 44150, 44200, 44250, 44300, 44350, 44400, 44450, 44500, 44550, 44600, 44650, 44700, 44750, 44800, 44850, 44900, 44950, 45000, 45050, 45100, 45150, 45200, 45250, 45300, 45350, 45400, 45450, 45500, 45550, 45600, 45650, 45700, 45750, 45800, 45850, 45900, 45950, 46000, 46050, 46100, 46150, 46200, 46250, 46300, 46350, 46400, 46450, 46500, 46550, 46600, 46650, 46700, 46750, 46800, 46850, 46900, 46950, 47000, 47050, 47100, 47150, 47200, 47250, 47300, 47350, 47400, 47450, 47500, 47550, 47600, 47650, 47700, 47750, 47800, 47850, 47900, 47950, 48000, 48050, 48100, 48150, 48200, 48250, 48300, 48350, 48400, 48450, 48500, 48550, 48600, 48650, 48700, 48750, 48800, 48850, 48900, 48950, 49000, 49050, 49100, 49150, 49200, 49250, 49300, 49350, 49400, 49450, 49500, 49550, 49600, 49650, 49700, 49750, 49800, 49850, 49900, 49950, 50000, [...], 50

Следовательно, НОК для 25 и 50 равняется 50

Еще один способ нахождения НОК чисел 25 and 50 - это нахождение всех простых множителей для обоих чисел и перемножение самых больших экспоненциальных форм