Transcript Glencoe Mathematics

Five-Minute Check (over Lesson 4–4)
Main Idea and Vocabulary
Example 1: Identify Common Multiples
Example 2: Find the LCM
Example 3: Use the LCM to Solve a Problem
• Find the least common multiple of two or more
numbers.
• multiple
• common multiples
• least common multiple (LCM)
Identify Common Multiples
Identify the first three common multiples of 3 and 9.
First, list the multiples of each number.
multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, ...
1 × 3, 2 × 3, 3 × 3, ...
multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, ...
1 × 9, 2 × 9, 3 × 9, ...
Notice that 9, 18, and 27 are multiples common to both
3 and 9.
Answer: So, the first three common multiples of 3 and 9
are 9, 18, and 27.
Identify the first three common multiples for 2 and 7.
A. 14, 24, and 42
B. 14, 28, and 42
C. 24, 42, and 56
D. 28, 54, and 70
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Find the LCM
Find the LCM of 8 and 18.
Write the prime factorization of each number.
8=2×2×2
18 = 2 × 3 × 3
Identify all common prime factors.
Find the product of the prime factors using each common
prime factor only once and any remaining factors.
Answer: The LCM is 2 × 2 × 2 × 3 × 3 or 72.
Find the LCM of 9 and 21.
A. 36
B. 42
C. 63
D. 72
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Use the LCM to Solve a Problem
MONEY Liam, Eva, and Brady each have the same
amount of money. Liam has only nickels, Eva has
only dimes, and Brady has only quarters. What is
the least amount of money that each of them could
have?
Find the LCM using prime factors.
5
10
25
1×5
2×5
5×5
Answer: The least amount of money that each of them
could have is 2 × 5 × 5 or 50 cents.
CANDY Michael, Logan, and Diego each have bags
of candy that have the same total weight. Michael’s
bag has candy bars that each weigh 4 ounces,
Logan’s bag has candy bars that each weigh
6 ounces, and Diego’s bag has candy bars that each
weigh 9 ounces. What is the least total weight that
each of them could have?
A. 24 ounces
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B. 36 ounces
D. 48 ounces
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C. 45 ounces
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End of the Lesson
Five-Minute Check (over Lesson 4–4)
Image Bank
Math Tools
Animation Menu
Greatest Common Factor
4-2
Equivalent Fractions
4-9
Ordered Pairs and Functions
(over Lesson 4-4)
Use the make an organized list strategy to solve.
MOVIES Jamaal and three of his friends are going
to a movie. How many arrangements are there for all
of them to sit in four seats that are in a row?
A. 8
B. 12
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C. 16
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D. 24
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(over Lesson 4-4)
Use the make an organized list strategy to solve.
LIBRARY Ana is going to the library and wants to
look at the fiction section, reference section, and the
music section. How many different ways can Ana
stop by these sections of the library?
A. 6
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B. 8
D. 12
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C. 9
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(over Lesson 4-4)
A university book store sells four styles of hats in
black, white, and red. How many different
combinations of style and color are possible?
A. 6
B. 7
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C. 12
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D. 20
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