Find Least Common Multiple of 4, 8, 2 and 66 using prime factorisation method.
Answer
LCM( 4, 8, 2, 66 ) = 264
Explanation
Step 1: Write down factorisation of each number:
4 = 2 · 2
8 = 2 · 2 · 2
2 = 2
66 = 2 · 3 · 11
Step 2 : Match primes vertically:
| 4 | = | 2 | · | 2 | ||||||
| 8 | = | 2 | · | 2 | · | 2 | ||||
| 2 | = | 2 | ||||||||
| 66 | = | 2 | · | 3 | · | 11 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 4 | = | 2 | · | 2 | ||||||||
| 8 | = | 2 | · | 2 | · | 2 | ||||||
| 2 | = | 2 | ||||||||||
| 66 | = | 2 | · | 3 | · | 11 | ||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 11 | = | 264 |
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