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Activity 2 Common Multiples and the LCM

jOb ective Learn about the relationship between multiples and the LCM.

1. Textbook Instructions Activity 2 Common Multiples and the LCM

Have students find the common multiples of 4 Learn about the relationship between common multiples and the least
and 6 and their LCM. common multiple.
Students should recognize that all of the
common multiples are multiples of the LCM. Find the least common multiple of 4 and 6.
LCM of 4 and 6 2 2 3 Common multiples of 4 and 6: 12, 24, 36, 48,
Common Multiples 2 2 3 1, The least common multiple: 12

2 2 3 2, Find the multiples of the least common multiple of 4 and 6.
2 2 3 3, Multiples of the LCM: 12, 24, 36, 48,

... So, the common multiples of the two numbers are the same as the
multiples of the least common multiple.
1. Have students solve the problems.
1 . Use multiples of the LCM to find the common multiples of the

two numbers.

a. 20 and 30 The LCM: 60

Common multiples: 60, 120, 180, 240,

2. Have students play a game about b. 12 and 18 The LCM: 36
Common multiples: 36, 72, 108, 144,
multiples. Students will choose two out of the

six numbered cards. Students will then circle 2 . Play the bingo game using common multiples.

the numbers that are multiples of both of the Let’s Play

cards. 1. Choose two number cards.
2. Write the numbers in the blanks.
Refer to . 3. Find the common multiples of the Example

two numbers. Circle them on the 234567
board.
4. The person who finds the most 134
number of horizontal, vertical, or 6 12 5
diagonal lines of three numbers wins. 8 15 20
5. Play several times using different boards. Numbers chosen: 2, 4

6

2. Build Understanding

Divisibility Rules
As students play the game of bingo, they should become intimately familiar with the following rules for
finding out whether a number is divisible by another quickly and without a calculator.
2: Even Number
3: Digits add up to 3
4: Last 2 digits divisible by 4
5: Ends in 5 or 0
6: Digits add up to 3 and even
9: Digits add up to 9

008 NUMINO Teacher s Guide
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