Page 30 - NUMINO TG_6A

01Understand and Identify Common Multiples and the Least Common Multiple Unit

100-B4-1 100-B4-2

Using Common Factors 20 50 2. Find the least common multiple of each pair of numbers as shown in the example.
1. Fill in the blanks with the correct numbers.
Example a. 6, 14
Example 12, 18

Divide by the common factors 12 28 6 14
of the two numbers.

a. 14 28 The LCM: The LCM: The LCM:
77
b. 2 8 12 b. 8, 34 c. 10, 15
2 8 34 10 15

The LCM: 7 The LCM: 2 2

c. 12 18 d. 8 20 The LCM: The LCM:
9 4
3 2 d. 16, 30 e. 18, 32
16 30 18 32

The LCM: 3 The LCM: 2

The LCM: The LCM:

Objective Find the least common multiple Objective Find the least common multiple
using a ladder diagram. using a ladder diagram.

Textbook Reference Activity 1 Textbook Reference Activity 1

100-B5-1 100-B5-2

Applications of the Least Common Multiple 2. Solve each word problem. Show your work and write the answer.
1. Find the least common multiple of the three numbers. Example

Example Bus A comes to the bus stop every 4 minutes and bus B comes every 6
4, 18, 30 minutes. At 9:00 A.M., both buses come at the same time. When do both
buses leave at the same time again?
4= 2 2
a. Thomas goes to the gym every 6 days and Ryan goes to the gym every 9 days.
18 = 2 3 3 = Thomas and Ryan both went to the gym today. How many days later will they
The LCM: next both go to the gym on the same day?
30 = 2 3 5
b. There are yellow dots every 8 cm and blue dots every 12 cm on the tape
a. measure. How far away from the start do the yellow and blue dots meet for the
6, 10, 12 first time?

6= 2 3

10 = 2 5 =

12 = 2 2 3 The LCM:

b.
8, 20, 24

8= 2 2 2 =
20 = 2 2 5
24 = 2 2 2 3 The LCM:

Objective Find the LCM of three numbers. Objective Find the LCM of three numbers.
Textbook Reference Activity 3 Textbook Reference Activity 3

6A Unit 01 013