Factors & Multiples Practice 1
This section features six targeted practice questions designed to strengthen your skills in finding the HCF and LCM of numbers using the selection method. These questions are carefully chosen based on the most commonly tested problem types in exams. By mastering these six question types, students greatly increase their chances of successfully tackling similar problems in the actual exam.
Related Lessons:
Practice 1 - Question 1
The numbers 392 and 588, written as the products of their prime factors, are
\[
\begin{align*}
392&=2^3\times7^2\\
588&=2^2\times3\times7^2\\
\end{align*}
\]
Find the lowest common multiple of 392 and 588.
Practice 1 - Question 2
By expressing 3450 as a product of its prime factors, find the smallest integer value of k such that 3450k is a perfect square.
Practice 1 - Question 3
The number 945 and 11025, written as the products of its prime factors is \(945=3^3\times5\times7 \) and \(11025=3^2\times5^2\times7^2\) respectively. Find the smallest positive integer value of n for which 945n is a multiple of 11025.
Practice 1 - Question 4
Keith, Faith and Nicole each visit the library once every 3 days. 5 days and 12 days respectively. If they meet at the library today, how many days later will they meet again?
Practice 1 - Question 5
Cindy bought 48 apples, 72 oranges and 96 pears. If she wants each type of fruit to be distributed equally among a certain number of fruit baskets, what is the greatest number of fruit baskets that can be prepared?
Practice 1 - Question 6
Find two numbers if their Lowest Common Multiple is 100 and their Highest Common Factor is 5. Give two possible pairs of answers.