The document outlines a lesson plan on finding common multiples and least common multiples (LCM) using different methods. It explains key terms like LCM, common, and multiple. Examples are given to demonstrate finding the LCM through listing common multiples, factor trees, or continuous division. Practice problems are provided for students to find the LCM of

1. Objective: At the end of the lesson pupils
should be able to ;
Find the common multiples and the least
common multiple (LCM) of 2-4 numbers
using continuous division

2. 3|15 18
 5 6
Lcm=3x5x6=90

3. Finding the common
multiples and the least
common multiple (LCM) of
2-4 numbers using
continuous division

4. Vocabulary
LCM-Least Common Multiple
Least- Smallest( pinakamaliit)
Common- same(pareho)
Multiple- more than one( higit pa sa isa)
 - can be divided by given
number.

5. Jollibee or McDo”
Mechanics:
1.Flap your hands like a bee without
creating a sound, if the number is
PRIME
2.Do the McDo sign if the number is
COMPOSITE

6. 1.23
2.34
3.75
4.19
5.43

7. FACT OR FAKE
 MECHANICS OF THE GAME:
 1.FACT IF THE STATEMENT IS CORRECT AND FAKE IF THE
STATEMENT IS WRONG.
 2.WORK AS A TEAM
 3.JUST SHOW YOUR CARD WHEN THE TIME IS RUNING OUT.
 4.AVOID SHOUTING EACH OTHER WHEN YOU GET OR DID NOT GET
THE ANSWER.
 5. BE HUMBLE IF YOU GET THE CORRECT ANSWER.
 6.THE FIRST TEAM OR GROUP TO BAG 3 POINTS SHALL BE
DECLARED A CHAMPION AND THEY WILL BE RECEIVING A SCHOOL
SUPPLIES PACKAGE….
 7.AND INCASE OF TIE CLINCHER FOLLOWS.

8.  CAUTION:THINK FIRST BEFORE YOU ANSWER….
 1.A NUMBER THAT IS DIVISIBLE BY 12,10,8,6 AND 4 CAN BE ALSO BE
DIVIDED BY 2.
 2.39 IS AN EXAMPLE OF PRIME NUMBER BECAUSE IT ENDS WITH ODD
NUMBER.
 3.57 IS DIVISIBLE BY 3 AND 7.
 4.59 IS A COMPOSITE NUMBER.
 5. IS THE STATEMENT TRUE? (2X3) - (13-7)= 1
 6.I AM THINKING OF TWO FACTORS,IF YOU SUBRACT THEM THE
DIFFERENCE IS 2 IF YOU MULTIPLY THEM THE PRODUCT IS 48.WHAT
NUMBERS AM ?

9. Clincher Question:
 1.Which does not belong to the group?
 A.15 B.81
 C.31 D.21
 2. A number which cannot be divided by 2 .
 A.even B.factors
 C.fraction. D.odd

10. “Problem Ko Pagsaluhan Natin”
 Digong assists his father in painting their house every 3
years while Dodong helps his father in painting their house
every 4 years. When will they paint their house at the same
time?
 a. What did Digong and Dodong do?
 b. What kind of boy are they?
 c. How will you solve the problem?

11.  This problem calls for the LCM of 3 and 4.
 To find the multiples of two numbers.
 Multiple of 3: 3,6,9,12,15,18,21,24, 27,30,33,36...
 Multiple of 4: 4,8,12,16,20,24 28, 32,36…
 The Common Multiples of 3 and 4 are 12,24,36 and so
on..
 The LCM is 12.
 So Digong and Dodong will paint at the same time
every 12 years.

12. What if Digong will help his father every 5 years
and 4 years for Dodong ,when will they paint at
the same time?
5= 5,10,15,20,25,30,35,40,45,50…..
4= 4,8,12,16,20,24,28,32,36,40…..
What is the COMMON MULTIPLES of 5 and 4?
2O AND 40
What is the LEAST COMMON MULTIPLE OF 5 AND
4?
20

13.  2. By factor tree method or Prime Factorization
 Problem: Find the LCM of 8 and 12
 8 12

 4 x 2 6 x 2
2 x 2 3x2
 2 x 2 x 2
 2 x 2 x 3
2 x 2x 2 x 3= 24
 And so LCM is 24

14. 3.By continuous division method
Find the LCM of 8 and 12.
 2 |8 12
 4 3
Since there is no number that can be divided by 4
and 3. Therefore, it will stop there. Multiply now
the 2X3X4 and …..
So the LCM=24

15. Group Activity: Perform as indicated below.
1.5,9 (Group 1 Listing Method)
Task: Encircle at least 2 Common Multiples.
2.12,15(Group 2 Factor tree)
Task: Find the LCM
3.3, 4, and 6 (Group 3 Listing Method)
Task: Encircle at least 2 Common Multiples.
4.7,63 (Continuous Division)
Task: Find the LCM
5.15,18( Continuous Division)
Task: Find the LCM

16. Find the LCM or Least Common Multiple using
any method.
1.3 and 5= LCM:____
2.8 and 14= LCM:____
3.5 and 12= LCM=____
4.6 and 14= LCM=____
5.3, 5,and 2= LCM=____

17.  What are the different methods to get the common
multiples or LCM or Least Common Multiple of a given
Number?
 Additional Tips:
 1.If the given numbers are prime. Just multiply them to
get the LCM.
 Example:3and 5.( 3x5=LCM=15)
 2.Divide the highest given number to other given
numbers if possible.
 Example:5,7,and 35:
 Therefore the LCM is 35.

18.  A. Directions: Give the least common multiple (LCM). Use any method.
 Encircle the letter of the correct answer.
 1) 6 and 8
 a. 16 b. 18 c. 24
 2) 8 and 10
 a. 20 b. 30 c. 40
 3) 8, 12 and 16
 a. 24 b.48 c.56
 B. Directions: In each set of numbers, underline the common multiples of
the given numbers in the left.
 Example:3 and 6: (3,6,9,12,15,18,21)
 4) 2 and 6: (4,10,18,25,29,36,40,46,54)
 5) 8 and 15: (10, 40,70,90,120,150,180)

19.  A. Write the letter of the correct answer in your notebook.
 1) The common multiples of 6 and 4 are
 a. 2, 3, 4 b. 4, 6, 8 c. 8, 12, 16 d. 12, 24, 36
 2) The common multiples of 4, 5 and 8 are
 a. 8, 10, 16 b. 16, 20, 24 c. 40, 80, 120 d. 50, 90, 100
 3) The LCM of 15 and 9 is
 a. 3 b. 15 c. 45 d. 135
 4) The LCM of 2, 3, 4 and 5 is
 a. 20 b. 30 c. 50 d. 60
 5) A common multiple of 3, 5, 9 and 10 is
 a. 30 b. 50 c. 90 d. 100

20. ASSIGNMENT:
 A. Find the Least Common Multiple (LCM) of the given sets of
numbers use continuous division.
 1) 3 , 15 , 21 LCM = ________
 2) 4, 8, 16, 20 LCM = ________
 3) 5, 10, 25,30 LCM = ________
 4) 6, 12, 15, 60 LCM = _______
 5) 2, 6, 10, 14, LCM = ________

21. A. Determine the LCM.
1) 3 9 12 LCM = ________
3 4
2) 5 5 10 30 45 LCM = ________
1 2 6 9
3) 2 12 16 20 28 LCM = ________
2 6 8 10 14
3 4 5 7