Factors & Multiples Practice 2
Tackle 6 carefully selected questions that focus on finding the HCF and LCM using the selection method. These examples reflect the types of problems most commonly seen in exams. Master these questions, and you’ll be well-prepared to handle similar problems with confidence on exam day.
Related Lessons:
Practice 2 - Question 1
Given that \(1960=2^3\times5\times7^2\) and \(2100=2^2\times3\times5^2\times7\), find the LCM of 1960 and 2100.
Practice 2 - Question 2
Given that \(1350=2\times3^3\times5^2\), and that \(\frac{1350}{k}\) is a square number, write down the smallest possible integer value of k.
Practice 2 - Question 3
Given that A and B are written as a product of their prime factors.
\[
\begin{align*}
A&=2^3\times3^2\times5\\
B&=2^2\times5^2\times11\\
\end{align*}
\]
Find the smallest positive integer n for which nB is a multiple of A.
Practice 2 - Question 4
Ben and Jack jog on a circular track with a radius of 15 metres. Ben jogs with a constant speed of \(0.15\pi\ m/s\) and Jack jogs with a constant speed of \(0.25\pi\ m/s\). If both boys start jogging in the opposite direction from point A at 0810hours, when will they meet again at A?
Practice 2 - Question 5
Megan has 144 sweets, 120 chocolate bars and 42 lollipops. She packed the snacks into smaller bags with the same number of each type of snack. Find the greatest number of bags she can pack.
Practice 2 - Question 6
Given that \(m=2^2\times3^3\times5^k\) and \(\ n=2^3\times3^2\times5\), find the value of k if the LCM of m and n is 5400.