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3. The highest common factor of n and 36 is 4. If n is less than 36, what are the possible
values of n?
4. Three pieces of string have a length of 192 cm, 242 cm and 328 cm respectively.
Aishah wishes to cut the strings so that every piece is cut into the same number of
CHAPTER
2 segments with no extra string left. What would be the maximum number of segments
that each piece of string can be cut into?
5. Anita wishes to cut a piece of paper measuring 260 cm in length and 20 cm in width
into several square pieces. What would be the measurement of the square pieces so
that there is no paper left?

2.2 Multiples, Common Multiples and Lowest Common Multiple
(LCM)
LEARNING
What are common multiples? STANDARDS
Explain and determine
Note that 9 × 1 = 9 the common multiples
9 × 2 = 18 of whole numbers.
9 × 3 = 27
The number 9 is multiplied by 1, 2, 3, … to give the products of 9, 18, 27, …
9, 18, 27, … are known as multiples of 9.
3 Pair

Aim: To explain and determine common multiples.
Instruction: Perform the activity in pairs.
1. List the first five multiples of 6 and 8.
2. Are there numbers in the list which are multiples of 6 as well as 8?
3. Discuss with your friends and explain the properties of these numbers in
relation to 6 and 8.

From the results of Exploration Activity 3, it is found that
24 is a multiple of 6 as well as 8. It means that 24 can be
divided completely by 6 and 8. Therefore, the number 24 is How many common
known as a common multiple of 6 and 8. multiples of 6 and 8 can
be written? Discuss with
your friends.
9
Determine whether
(a) 32 is a common multiple of 2 and 8.
(b) 60 is a common multiple of 5, 15 and 24.
(c) 72 is a common multiple of 8, 9, 18 and 24.

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Chapter 2

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