LCM( 3, 2, 11, 12 ) = 132
Step 1: Write down factorisation of each number:
3 = 3
2 = 2
11 = 11
12 = 2 · 2 · 3
Step 2 : Match primes vertically:
3 | = | 3 | ||||||
2 | = | 2 | ||||||
11 | = | 11 | ||||||
12 | = | 2 | · | 2 | · | 3 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
3 | = | 3 | ||||||||
2 | = | 2 | ||||||||
11 | = | 11 | ||||||||
12 | = | 2 | · | 2 | · | 3 | ||||
LCM | = | 2 | · | 2 | · | 3 | · | 11 | = | 132 |