LCM( 2, 4, 6, 12, 14 ) = 84
Step 1: Write down factorisation of each number:
2 = 2
4 = 2 · 2
6 = 2 · 3
12 = 2 · 2 · 3
14 = 2 · 7
Step 2 : Match primes vertically:
2 | = | 2 | ||||||
4 | = | 2 | · | 2 | ||||
6 | = | 2 | · | 3 | ||||
12 | = | 2 | · | 2 | · | 3 | ||
14 | = | 2 | · | 7 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
2 | = | 2 | ||||||||
4 | = | 2 | · | 2 | ||||||
6 | = | 2 | · | 3 | ||||||
12 | = | 2 | · | 2 | · | 3 | ||||
14 | = | 2 | · | 7 | ||||||
LCM | = | 2 | · | 2 | · | 3 | · | 7 | = | 84 |