🎈📠🎈Multiples, Common Multiples and Lowest Common Multiples of Numbers🎈📠🎈

 Welcome 👦👧boys and girls to another class. Today, we will be going on an adventure where we will be exploring the topic: Multiples, Common Multiples and Lowest Common Multiples of Numbers. Read all information carefully before writing your answers. Show all working.

1. Multiples
A multiple is what you get when you multiply a number by a whole number (1, 2, 3, 4...).

• Example: The multiples of 3 are: 3, 6, 9, 12, 15, 18... (3x1, 3x2, 3x3...).

2. Common Multiples
Common multiples are multiples that are the same for two or more numbers.

• Example: Multiples of 4: 4, 8, 12, 16, 20, 24. Multiples of 5: 5, 10, 15, 20, 25. The number 20 is a common multiple of 4 and 5.

3. Lowest Common Multiple (LCM)
The LCM is the smallest number that is a multiple of two or more numbers. (It is also called the Least Common Multiple).

• Example: Multiples of 2: 2, 4, 6, 8. Multiples of 3: 3, 6, 9. The LCM of 2 and 3 is 6.

Now👦👧boys and girls let us watch the video clips below.👇👇👇

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Hurray!!!👦👧boys and girls let us do the activities below.👇👇

Task 1:

 Write the question and the answer only.

1. Which of the following is a multiple of 7?
a) 14
b) 25
c) 30
d) 41

2. What are the first five multiples of 6?
a) 6, 12, 18, 24, 30
b) 1, 6, 12, 18, 24
c) 6, 16, 26, 36, 46
d) 0, 6, 12, 18, 24

3. Which number is a common multiple of 3 and 5?
a) 12
b) 20
c) 30
d) 35

4. What is the Lowest Common Multiple (LCM) of 4 and 6?
a) 2
b) 12
c) 24
d) 48

5. Which of these pairs has an LCM of 10?
a) 2 and 3
b) 2 and 5
c) 5 and 15
d) 1 and 8

6. What is the LCM of 8 and 12?
a) 4
b) 24
c) 48
d) 96

7. Ravi jumps every 3 steps. Sita jumps every 4 steps. On which number will they both land first if they start at 0?
a) 7
b) 10
c) 12
d) 24

8. Which of the following is NOT a multiple of 9?
a) 27
b) 36
c) 45
d) 53

9. What is the LCM of 5, 10, and 15?
a) 15
b) 30
c) 50
d) 150

10. The LCM of two numbers is 20. One number is 4. What could the other number be?
a) 3
b) 5
c) 6
d) 8

11. Which pair of numbers has the LCM equal to the larger number?
a) 3 and 6
b) 2 and 4
c) 4 and 5
d) Both a and b

12. What is the LCM of 6 and 9?
a) 3
b) 18
c) 36
d) 54

Task:2

Read each item carefully before writing your answers.

1. School Bell A rings every 4 minutes. School Bell B rings every 6 minutes. If both bells ring together at 8:00 AM, at what time will they ring together again?

2. Emma wants to buy plates for a party. Plates come in packs of 8 and cups come in packs of 12. She wants to have the exact same number of plates and cups. What is the smallest number of plates she can buy?

3. A gardener is planting two types of flowers. Red flowers are planted every 3 meters. Yellow flowers are planted every 5 meters. If a red and yellow flower are planted at the start of the path, how many meters will pass before a red and yellow flower are planted at the same spot again?

4. Car A completes a lap in 6 seconds. Car B completes a lap in 9 seconds. If they start side-by-side, after how many seconds will they be side-by-side again at the starting line?

5. A red light blinks every 10 seconds. A blue light blinks every 15 seconds. If they blink together right now, after how many seconds will they blink together again? How many times will they blink together in 60 seconds (including the start)?

6. A shop sells candies in bags of 15 and chocolates in boxes of 20. A teacher wants to buy the same number of candies and chocolates for her class. What is the least number of candies she needs to buy?

 Task 3:

Read each item carefully then circle true or false.

1. 24 is a multiple of 6. (True / False)
2. 100 is a multiple of 3. (True / False)
3. The number 1 is a multiple of every number. (True / False)
4. 35 is a common multiple of 5 and 7. (True / False)
5. The LCM of 2 and 3 is 6. (True / False)
6. The LCM of 4 and 8 is 32. (True / False)
7. Every number is a multiple of itself. (True / False)
8. 0 is a multiple of every number. (True / False)
9. The LCM of 5 and 7 is 35. (True / False)
10. 18 is the LCM of 6 and 9. (True / False)

Task 4: Complete each item. Show all working

1. The first multiple of 5 is ______.
2. Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40. The 7th multiple is ______.
3. The common multiples of 2 and 3 are 6, 12, 18, 24. The smallest of these is called the ______.
4. The LCM of 3 and 7 is ______.
5. The LCM of 6 and 10 is ______.
6. If a number is a multiple of 8, it is also always a multiple of __ and __.
7. The LCM of 1 and 15 is ______.
8. The LCM of 12 and 15 is ______.
9. The smallest number that is exactly divisible by 9 and 12 is ______. (Hint: LCM)
10. Two numbers have an LCM of 12. One number is 6. The other number could be ____ or ____. 

Task 5: Live worksheets 

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