Question
Find Least Common Multiple of 4, 912, 18 and 6 using prime factorisation method.
Answer
LCM( 4, 912, 18, 6 ) = 2736
Explanation
Step 1: Write down factorisation of each number:
4 = 2 · 2
912 = 2 · 2 · 2 · 2 · 3 · 19
18 = 2 · 3 · 3
6 = 2 · 3
Step 2 : Match primes vertically:
| 4 | = | 2 | · | 2 | ||||||||||
| 912 | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 19 | ||
| 18 | = | 2 | · | 3 | · | 3 | ||||||||
| 6 | = | 2 | · | 3 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 4 | = | 2 | · | 2 | ||||||||||||
| 912 | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 19 | ||||
| 18 | = | 2 | · | 3 | · | 3 | ||||||||||
| 6 | = | 2 | · | 3 | ||||||||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 3 | · | 19 | = | 2736 |
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