LCM( 10, 15, 50, 100 ) = 300
Step 1: Write down factorisation of each number:
10 = 2 · 5
15 = 3 · 5
50 = 2 · 5 · 5
100 = 2 · 2 · 5 · 5
Step 2 : Match primes vertically:
10 | = | 2 | · | 5 | ||||||
15 | = | 3 | · | 5 | ||||||
50 | = | 2 | · | 5 | · | 5 | ||||
100 | = | 2 | · | 2 | · | 5 | · | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
10 | = | 2 | · | 5 | ||||||||
15 | = | 3 | · | 5 | ||||||||
50 | = | 2 | · | 5 | · | 5 | ||||||
100 | = | 2 | · | 2 | · | 5 | · | 5 | ||||
LCM | = | 2 | · | 2 | · | 3 | · | 5 | · | 5 | = | 300 |