Question
Find Least Common Multiple of 2, 16, 4 and 16 using prime factorisation method.
Answer
LCM( 2, 16, 4, 16 ) = 16
Explanation
Step 1: Write down factorisation of each number:
2 = 2
16 = 2 · 2 · 2 · 2
4 = 2 · 2
16 = 2 · 2 · 2 · 2
Step 2 : Match primes vertically:
| 2 | = | 2 | ||||||
| 16 | = | 2 | · | 2 | · | 2 | · | 2 |
| 4 | = | 2 | · | 2 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 2 | = | 2 | ||||||||
| 16 | = | 2 | · | 2 | · | 2 | · | 2 | ||
| 4 | = | 2 | · | 2 | ||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 2 | = | 16 |
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