Question
Find Least Common Multiple of 6, 4, 2, 3, 2, 2, 4, 2 and 2 using prime factorisation method.
Answer
LCM( 6, 4, 2, 3, 2, 2, 4, 2, 2 ) = 12
Explanation
Step 1: Write down factorisation of each number:
6 = 2 · 3
4 = 2 · 2
2 = 2
3 = 3
2 = 2
2 = 2
4 = 2 · 2
2 = 2
2 = 2
Step 2 : Match primes vertically:
| 6 | = | 2 | · | 3 | ||
| 4 | = | 2 | · | 2 | ||
| 2 | = | 2 | ||||
| 3 | = | 3 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 6 | = | 2 | · | 3 | ||||
| 4 | = | 2 | · | 2 | ||||
| 2 | = | 2 | ||||||
| 3 | = | 3 | ||||||
| LCM | = | 2 | · | 2 | · | 3 | = | 12 |
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