Question
Find Least Common Multiple of 27, 9, 34 and 6 using prime factorisation method.
Answer
LCM( 27, 9, 34, 6 ) = 918
Explanation
Step 1: Write down factorisation of each number:
27 = 3 · 3 · 3
9 = 3 · 3
34 = 2 · 17
6 = 2 · 3
Step 2 : Match primes vertically:
| 27 | = | 3 | · | 3 | · | 3 | ||||
| 9 | = | 3 | · | 3 | ||||||
| 34 | = | 2 | · | 17 | ||||||
| 6 | = | 2 | · | 3 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 27 | = | 3 | · | 3 | · | 3 | ||||||
| 9 | = | 3 | · | 3 | ||||||||
| 34 | = | 2 | · | 17 | ||||||||
| 6 | = | 2 | · | 3 | ||||||||
| LCM | = | 2 | · | 3 | · | 3 | · | 3 | · | 17 | = | 918 |
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