Question

НОК 6 И 13. НОК 14 И 18. НОК 28 И 42. НОК 21 И 33

Answer 1

НОК (6 и 13) = 6*13 = 78 (взаимно простые числа)

НОК (14 и 18) = 2*7*9 = 126 (14=2*7; 18=2*3*3)

НОК (28 и 42) = 2*2*7*3 = 84 (28=2*2*7; 42=2*3*7)

НОК (21 и 33) = 3*7*11 = 231 (21=3*7; 33=3*11)                                           

                                                                                                                              

Answer 2

НОК (6 и 13) = 6*13 = 78

6=3.2   ;   13=13

НОК (14 и 18) = 2*7*9 = 126 

14=2.7; 18=2.3.3

НОК (28 и 42) = 2*2*7*3 = 84 

28=2.2.7; 42=2.3.7

НОК (21 и 33) = 3*7*11 = 231                                        

21=3.7; 33=3.11

                     

                                                                             

Answer 3

To find the least common multiple (LCM) of two numbers, you can use the formula:

LCM(a, b) = (a * b) / GCD(a, b)

Where GCD(a, b) represents the greatest common divisor of numbers a and b.

Let's calculate the LCM for the given pairs of numbers:

1. LCM(6, 13): GCD(6, 13) = 1 (as 6 and 13 are prime numbers) LCM(6, 13) = (6 * 13) / 1 = 78

2. LCM(14, 18): GCD(14, 18) = 2 (as 14 and 18 both are divisible by 2) LCM(14, 18) = (14 * 18) / 2 = 126

3. LCM(28, 42): GCD(28, 42) = 14 (as 14 is the largest number that divides both 28 and 42) LCM(28, 42) = (28 * 42) / 14 = 84

4. LCM(21, 33): GCD(21, 33) = 3 (as 3 is the largest number that divides both 21 and 33) LCM(21, 33) = (21 * 33) / 3 = 231

Therefore, the LCMs for the given pairs of numbers are:

1. LCM(6, 13) = 78
2. LCM(14, 18) = 126
3. LCM(28, 42) = 84
4. LCM(21, 33) = 231