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Find the GCF for each pair.
1)
70 and 175
GCF is 35
2)
210 and 90
GCF is 30
3)
48a2 and 8a5
GCF is 8a2
1)
Were you pleased with your grade on quiz #4?
2)
What will you do this week to learn from your mistakes?
3)
What will you do differently to make sure you are more
prepared next time?
4)
Jeremy is reading a 483-page book. He has already read
23 pages per day for 6 days. How many more days will it
take him to complete the book if he continues reading
at the same rate? Write an equation to represent the
scenario, then solve the equation to answer the
question.
483 = 23(6) + 23d
It will take him 15 more days to finish the book.
□ I will be able to find the least
common multiple (LCM).
multiple
– a product of the number and any
nonzero number
common
multiple – a multiple shared by two
or more numbers
least
common multiple (LCM) – the smallest
common multiple of two numbers
Find
the LCM of 6 and 9.
Multiples of 6
6:
6, 12, 18, 24, 30, 36, . . .
9:
9, 18, 27, 36, . . .
Multiples of 9
The LCM of 6 and 9 is 18.
Find
the LCM of 180 and 378.
180
10
2
378
18
52
9
3
9
3
Prime factorization:
3
22·32·5
42
36
2
7
3
Prime factorization:
2·33·7
factorization of 180 = 22 · 32 · 5
Prime factorization of 378 = 2 · 33 · 7
Prime
Now, pick the highest power of each prime number
that appear in either factorization
22 · 33 · 5 · 7 = 3780
The LCM of 180 and 378 is 3,780.
20
Find
4
the LCM of 20ab2 and 18b.
2
20ab2:
5
2
22 ∙ 5 ∙ a ∙ b 2
18
6
18b:
3
2 ∙ 32 ∙ b
2
3
The LCM of 20ab2 and 18b is 180ab2.
Find
the LCM for each pair.
1)
21 and 9
LCM is 63
2)
25w2 and 10w4
LCM is 50w4
WB
5.3 (#1-12)