LCM( 7, 16, 12, 24 ) = 336
Step 1: Write down factorisation of each number:
7 = 7
16 = 2 · 2 · 2 · 2
12 = 2 · 2 · 3
24 = 2 · 2 · 2 · 3
Step 2 : Match primes vertically:
7 | = | 7 | ||||||||||
16 | = | 2 | · | 2 | · | 2 | · | 2 | ||||
12 | = | 2 | · | 2 | · | 3 | ||||||
24 | = | 2 | · | 2 | · | 2 | · | 3 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
7 | = | 7 | ||||||||||||
16 | = | 2 | · | 2 | · | 2 | · | 2 | ||||||
12 | = | 2 | · | 2 | · | 3 | ||||||||
24 | = | 2 | · | 2 | · | 2 | · | 3 | ||||||
LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 7 | = | 336 |