Answer:
LCM=180, HCF=3
Explanation:
For the LCM:
The LCM is the smallest positive number that all of the numbers divide into evenly.
1. List the prime factors of each number.
2. Multiply each factor the greatest number of times it occurs in either number.
9 has factors of 3 and 3 so 3x3
The prime factors of 12 are 2x2x3
12 has factors of 2 and 6, so 2x6
6 has factors of 2 and 3, so 2x2x3
15 has factors of 3 and 5, so 3x5
The LCM of 9,12,15 is the result of multiplying all prime factors the greatest number of times they occur in either number.
2x2x3x3x5
The LCM of 9,12,15 is 2x2x3x3x5=180
Multiply 2 by 2
4x3x3x5
multiple 4 by 3
12x3x5
multiply 12 by 3
36x5
multiply 36 by 5
180