LCM( 2, 3, 2, 5, 3, 4 ) = 60
Step 1: Write down factorisation of each number:
2 = 2
3 = 3
2 = 2
5 = 5
3 = 3
4 = 2 · 2
Step 2 : Match primes vertically:
2 | = | 2 | ||||||
3 | = | 3 | ||||||
5 | = | 5 | ||||||
4 | = | 2 | · | 2 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
2 | = | 2 | ||||||||
3 | = | 3 | ||||||||
5 | = | 5 | ||||||||
4 | = | 2 | · | 2 | ||||||
LCM | = | 2 | · | 2 | · | 3 | · | 5 | = | 60 |