Page 29 - NUMINO TG_6A

Workbook What Do We Have in Common?

100-B1-1 100-B1-2

Common Multiples and the Least Common Multiple 2. Fill in the blanks with correct numbers.
Example
1. Find the multiples of each number in a pair. Then find the first two common
multiples of the pair. The smallest number among all the common multiples of a number is called
the least common multiple (LCM).
Example
12, 16
4, 6 a.
8, 12

Multiples of 4: Multiples of 8: Multiples of 12: , ,
Multiples of 16: , ,
Multiples of 6: Multiples of 12: Common multiples of 12 and 16: , ,, , , , ...
, ,, , , , ...

, , ...

Common multiples The least common multiple of 12 and 16:
of 4 and 6:
Common multiples
of 8 and 12: a. 10,15
Multiples of 10: , , , , , , , , ...
b. c. Multiples of 15: , , , , , , , , ...
7, 14 9, 15 Common multiples of 10 and 15: , , ...
The least common multiple of 10 and 15:
Multiples of 7: Multiples of 9:
b. 4, 12
Multiples of 14: Multiples of 15: Multiples of 4: , , , , , , , , ...
Multiples of 12: , , , , , , , , ...
Common multiples Common multiples Common multiples of 4 and 12: , , ...
of 7 and 14: of 9 and 15: The least common multiple of 4 and 12:

Objective Learn how to find common Objective Learn how to find the least
multiples. common multiple.

Textbook Reference Lead-In Textbook Reference Lead-In

100-B2-1 100-B2-2

Using Prime Factorization 2. Fill in the blanks with the correct numbers and find the least common multiple.
1. Find the least common multiple of each pair of numbers.
Example a.
Example 6, 8 18, 30
4, 6

4= 2 2 68 18 30
6= 2 3
= 22
The LCM:
a. 35
9, 15 =
3 3 The LCM: 6= 18 =
9= 3 5 8= 30 =
The LCM: The LCM:
15 = 3
b. c.
b. 36, 42 12, 20
12, 28
36 42 12 20
12 = 2 2 2=
28 = 2 2 The LCM: 27 25

c. 2
18, 42

18 = 2 3 7 2 = 36 = 12 =
42 = 3 The LCM: 42 = 20 =

The LCM: The LCM:

Objective Find the least common multiple Objective Find the least common multiple
by prime factorization. by prime factorization.

Textbook Reference Activity 1 Textbook Reference Activity 1

012 NUMINO Teacher s Guide