HCF, LCM and Perfect Cubes

HCF, LCM and Perfect Cubes

IP 1
5 marks
  1. Find the prime factors of \(504\) and \(882\), giving your answers in index form.[2]
  2. Using the answers obtained in part (i), state the following, leaving your answers in index form.
    1. highest common factor of \(504\) and \(882\),[1]
    2. lowest common multiple of \(504\) and \(882\).[1]
  3. Write down the smallest positive integer value of \(q\) such that \(\sqrt[3]{882q}\) is a whole number.[1]

Solution:

Solution locked

Sign in to view the step-by-step solution

Similar questions are unavailable for this question.
Answer:(i) \(504=2^3\times3^2\times7\), \(882=2\times3^2\times7^2\) (ii)(a) \(2\times3^2\times7\) (b) \(2^3\times3^2\times7^2\) (iii) \(q=84\)

Need help? Join our JC Math tuition classes.

Learn more