Find the LCM by prime fantorisation method.
A)10,15,6
B) 16,12,18
C)25,30,40
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Answer:
A.) the LCM of 10, 15, and 6 is 30
10 = 2 × 5
15 = 3 × 5
6 = 2 × 3
LCM (10, 15, 6)
= 2 × 3 × 5
= 30
B.) the LCM of 16, 12, 18 is 144
16 = 2 × 2 × 2 × 2
12 = 2 × 2 × 3
18 = 2 × 3 × 3
LCM(16, 12, 18)
= 2 × 2 × 2 × 2 × 3 × 3
= 144
C.) the LCM of 25,30,40 is 600
25 = 5 × 5
30 = 2 × 3 × 5
40 = 2 × 2 × 2 × 5
LCM(25, 30, 40)
= 2 × 2 × 2 × 3 × 5 × 5
= 600
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