LCM( 5, 3, 8, 2, 4 ) = 120
Step 1: Write down factorisation of each number:
5 = 5
3 = 3
8 = 2 · 2 · 2
2 = 2
4 = 2 · 2
Step 2 : Match primes vertically:
5 | = | 5 | ||||||||
3 | = | 3 | ||||||||
8 | = | 2 | · | 2 | · | 2 | ||||
2 | = | 2 | ||||||||
4 | = | 2 | · | 2 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
5 | = | 5 | ||||||||||
3 | = | 3 | ||||||||||
8 | = | 2 | · | 2 | · | 2 | ||||||
2 | = | 2 | ||||||||||
4 | = | 2 | · | 2 | ||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 5 | = | 120 |