LCM( 4, 8, 11, 12 ) = 264
Step 1: Write down factorisation of each number:
4 = 2 · 2
8 = 2 · 2 · 2
11 = 11
12 = 2 · 2 · 3
Step 2 : Match primes vertically:
4 | = | 2 | · | 2 | ||||||
8 | = | 2 | · | 2 | · | 2 | ||||
11 | = | 11 | ||||||||
12 | = | 2 | · | 2 | · | 3 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
4 | = | 2 | · | 2 | ||||||||
8 | = | 2 | · | 2 | · | 2 | ||||||
11 | = | 11 | ||||||||||
12 | = | 2 | · | 2 | · | 3 | ||||||
LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 11 | = | 264 |