Use prime factorization to find the LCM of each set of numbers:A) 15,21B)15,30C)24,72D)16,42E)8, 30F)18,30G) 8,16,20
1 answer:
Solution
For this case we can do the following:
A) 15, 21
LCM= 105
15= 3*5
21 = 7*3
LCM= 3*5*7
b) 15,30
LCM= 30
15= 3*5
30 = 2*5
LCM= 2*3*5= 30
c) 24,72
LCM= 72
24= 2*3*4
72= 2* 2*2*3*3
LCM= 2*2*2*3*3
d) 16,42
LCM= 336
16= 2*2*4
42= 2*3*7
LCM= 2*2*3*7*4
e) 8,30
LCM=120
8= 2*4
30= 2*3*5
LCM= 2*3*4*5=120
f) 18,30
LCM=90
18= 2*3*3
90= 2*5*3*3
LCM= 2*5*3*3
g) 8,16,20
LCM= 80
8= 2*2*2
16= 2*2*2*2
20= 2*2*5
LCM= 2*2*2*2*5
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