The LCM of 165, 176, 385 and 495 is k. When is divided by the HCF of the numbers, the quotient is p. What is the value of p?
Answer & explanation
Correct answer: option 2
165 = 3 x 5 x 11
176 = 2 x 2 x 2 x 2 x 11
385 = 5 x 7 x 11
495 = 3 x 3 x 5 x 11
The LCM of 165, 176, 385, 495 = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 = 55440
HCF(165, 176, 385 and 495) = 11
p = \(\frac{55440}{11}\) = 5040