LCM( 1, 12, 1, 15, 1, 24 ) = 120
Step 1: Write down factorisation of each number:
1 = 1
12 = 2 · 2 · 3
1 = 1
15 = 3 · 5
1 = 1
24 = 2 · 2 · 2 · 3
Step 2 : Match primes vertically:
1 | = | 1 | ||||||||||
12 | = | 2 | · | 2 | · | 3 | ||||||
15 | = | 3 | · | 5 | ||||||||
24 | = | 2 | · | 2 | · | 2 | · | 3 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
1 | = | 1 | ||||||||||||
12 | = | 2 | · | 2 | · | 3 | ||||||||
15 | = | 3 | · | 5 | ||||||||||
24 | = | 2 | · | 2 | · | 2 | · | 3 | ||||||
LCM | = | 1 | · | 2 | · | 2 | · | 2 | · | 3 | · | 5 | = | 120 |