The LCM of 165, 176, 385, and 495 is k. When k is divided by the HCF of the numbers, the quotient is p. What is the value of p?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 5040
The LCM of 165, 176, 385, and 495 is k.
165 = 11 × 15
176 = 11 × 16
385 = 11 × 35
495 = 11 × 45
Here HCF = 11
LCM = 11 × 5 × 7× 9 × 16
When k is divided by the HCF of the numbers, the quotient is p.
So (11 × 5 × 7× 9 × 16)/11 = 5040 = p