Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

HCF and LCM

Question:

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?

Options:

2520

5040

6720

3360

Correct Answer:

5040

Explanation:

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