1.5 Greatest Common Factor And Least Common Multiple Worksheet With Answers - College Of The Sequoias Page 5
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11If three numbers are given the procedure is the same. Given the numbers 10, 15, and 25, first list
the multiples of each number:
multiples of 10:
10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, …
multiples of 15:
15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, …
multiples of 25:
25, 50, 75, 100, 125, 150, 175, 200, …
Since 150 is the smallest number common to all three lists, the LCM of 10, 15, and 25 is 150.
Example 3
Find the least common multiple of each set of number by listing multiples.
a.
12, 16
b.
10, 25
c.
45, 60
d.
4, 6, 8
Solution
a.
Begin by listing the multiples of 12 and 16:
multiples of 12:
12, 24, 36, 48, 60, 72, 84, …
multiples of 16:
16, 32, 48, 64, 80, 96, …
Since 48 is the smallest number common to both lists, the LCM of 12 and
16 is 48.
b.
Begin by listing the multiples of 10 and 25:
multiples of 10:
10, 20, 30, 40, 50, 60, 70, 80, …
multiples of 25:
25, 50, 75, 100, 125, 150, …
Since 50 is the smallest number common to both lists, the LCM of 10 and
25 is 50.
c.
Begin by listing the multiples of 45 and 60:
multiples of 45:
45, 90, 135, 180, 225, 270, …
multiples of 60:
60, 120, 180, 240, 300, 360, …
Since 180 is the smallest number common to both lists, the LCM of 45 and
60 is 180.
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