Question

12. If the LCM of two prime numbers 47 and x is 517, then the value of x is: (A) 1 (B) 47 (C) 11 (D) 51​

Answer 1

Answer: I hope this helps (≧∇≦)ﾉ

Step-by-step explanation: Factors of 517 are the list of integers that can be evenly divided into 517. There are overall 4 factors of 517 among which 517 is the biggest factor and its positive factors are 1, 11, 47, 517. The Prime Factors of 517 are 11 × 47 and its Factors in Pairs are (1, 517), (11, 47).

All Factors of 517: 1, 11, 47 and 517

Negative Factors of 517: -1, -11, -47 and -517

Prime Factors of 517: 11, 47

Prime Factorization of 517: 111 × 471

Sum of Factors of 517: 576

Answer 2

Answer:

If the LCM of two prime numbers 47 and x is 517, then the value of x is 11. Hence, Option C is the correct answer.

Step-by-step explanation:

Given:-

The LCM of two numbers 47 and x is 517.

To find:-

The value of x.

(A) If x = 1

Then,

The LCM of the numbers 47 and 1 is 47.

Thus, option (1) is incorrect.

(B) If x = 47

Then,

The LCM of the numbers 47 and 47 is again 47.

Thus, option (2) is incorrect.

(C) If x = 11

Then,

The LCM of the numbers 47 and 11 is,

= 47 × 11 (Since both are prime numbers)

= 517

Thus, option (3) is correct.

(D) If x = 51

Then,

The LCM of the numbers 47 and 51 is,

= 47 × 51

= 2397

Thus, option (4) is incorrect.

Final answer: The value of x is 11.

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