LCM( 9, 12, 16, 30 ) = 720
Step 1: Write down factorisation of each number:
9 = 3 · 3
12 = 2 · 2 · 3
16 = 2 · 2 · 2 · 2
30 = 2 · 3 · 5
Step 2 : Match primes vertically:
9 | = | 3 | · | 3 | ||||||||||
12 | = | 2 | · | 2 | · | 3 | ||||||||
16 | = | 2 | · | 2 | · | 2 | · | 2 | ||||||
30 | = | 2 | · | 3 | · | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
9 | = | 3 | · | 3 | ||||||||||||
12 | = | 2 | · | 2 | · | 3 | ||||||||||
16 | = | 2 | · | 2 | · | 2 | · | 2 | ||||||||
30 | = | 2 | · | 3 | · | 5 | ||||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 3 | · | 5 | = | 720 |