Question
Find Least Common Multiple of 1, 18, 5, 1, 111, 1 and 37 using prime factorisation method.
Answer
LCM( 1, 18, 5, 1, 111, 1, 37 ) = 3330
Explanation
Step 1: Write down factorisation of each number:
1 = 1
18 = 2 · 3 · 3
5 = 5
1 = 1
111 = 3 · 37
1 = 1
37 = 37
Step 2 : Match primes vertically:
| 1 | = | 1 | ||||||||||
| 18 | = | 2 | · | 3 | · | 3 | ||||||
| 5 | = | 5 | ||||||||||
| 111 | = | 3 | · | 37 | ||||||||
| 37 | = | 37 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 1 | = | 1 | ||||||||||||
| 18 | = | 2 | · | 3 | · | 3 | ||||||||
| 5 | = | 5 | ||||||||||||
| 111 | = | 3 | · | 37 | ||||||||||
| 37 | = | 37 | ||||||||||||
| LCM | = | 1 | · | 2 | · | 3 | · | 3 | · | 5 | · | 37 | = | 3330 |
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