LCM( 4, 8, 9, 16 ) = 144
Step 1: Write down factorisation of each number:
4 = 2 · 2
8 = 2 · 2 · 2
9 = 3 · 3
16 = 2 · 2 · 2 · 2
Step 2 : Match primes vertically:
4 | = | 2 | · | 2 | ||||||||
8 | = | 2 | · | 2 | · | 2 | ||||||
9 | = | 3 | · | 3 | ||||||||
16 | = | 2 | · | 2 | · | 2 | · | 2 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
4 | = | 2 | · | 2 | ||||||||||
8 | = | 2 | · | 2 | · | 2 | ||||||||
9 | = | 3 | · | 3 | ||||||||||
16 | = | 2 | · | 2 | · | 2 | · | 2 | ||||||
LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 3 | = | 144 |