Question
Find Least Common Multiple of 8, 5, 3, 5, 11 and 5 using prime factorisation method.
Answer
LCM( 8, 5, 3, 5, 11, 5 ) = 1320
Explanation
Step 1: Write down factorisation of each number:
8 = 2 · 2 · 2
5 = 5
3 = 3
5 = 5
11 = 11
5 = 5
Step 2 : Match primes vertically:
| 8 | = | 2 | · | 2 | · | 2 | ||||||
| 5 | = | 5 | ||||||||||
| 3 | = | 3 | ||||||||||
| 11 | = | 11 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 8 | = | 2 | · | 2 | · | 2 | ||||||||
| 5 | = | 5 | ||||||||||||
| 3 | = | 3 | ||||||||||||
| 11 | = | 11 | ||||||||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 5 | · | 11 | = | 1320 |
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