Question

Заполните рамочку: НОК(3,40) НОК(7,33) НОК(21,14) НОК(8,12) НОК(20,25) НОК(38,19)

Answer 1

Нок(3,40)=3*2*2*2*5=120 И вот так делай все остальные 3:3=1. 40:2=20:2=10:2=5:5=1 Нод(3,40)=1

Answer 2

120
231
42
24
100
38
.............................

Answer 3

NOK(3,40)

To find the least common multiple (LCM) of 3 and 40, we need to find the smallest number that is divisible by both 3 and 40. One way to find the LCM is by listing the multiples of each number and finding the smallest common multiple.

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, ...

Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, ...

From the lists above, we can see that the LCM of 3 and 40 is 120. Therefore, NOK(3,40) = 120.

NOK(7,33)

To find the LCM of 7 and 33, we can follow the same process as above.

Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, ...

Multiples of 33: 33, 66, 99, 132, 165, 198, 231, 264, 297, 330, ...

From the lists above, we can see that the LCM of 7 and 33 is 231. Therefore, NOK(7,33) = 231.

NOK(21,14)

To find the LCM of 21 and 14, we can follow the same process as above.

Multiples of 21: 21, 42, 63, 84, 105, 126, 147, 168, 189, 210, 231, 252, 273, 294, ...

Multiples of 14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, ...

From the lists above, we can see that the LCM of 21 and 14 is 42. Therefore, NOK(21,14) = 42.

NOK(8,12)

To find the LCM of 8 and 12, we can follow the same process as above.

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, ...

Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ...

From the lists above, we can see that the LCM of 8 and 12 is 24. Therefore, NOK(8,12) = 24.

NOK(20,25)

To find the LCM of 20 and 25, we can follow the same process as above.

Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, ...

Multiples of 25: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, ...

From the lists above, we can see that the LCM of 20 and 25 is 100. Therefore, NOK(20,25) = 100.

NOK(38,19)

To find the LCM of 38 and 19, we can follow the same process as above.

Multiples of 38: 38, 76, 114, 152, 190, 228, 266, 304, 342, 380, ...

Multiples of 19: 19, 38, 57, 76, 95, 114, 133, 152, 171, 190, ...

From the lists above, we can see that the LCM of 38 and 19 is 38. Therefore, NOK(38,19) = 38.

I hope this helps! Let me know if you have any further questions.