Question
Find Least Common Multiple of 4, 2, 4 and 13 using prime factorisation method.
Answer
LCM( 4, 2, 4, 13 ) = 52
Explanation
Step 1: Write down factorisation of each number:
4 = 2 · 2
2 = 2
4 = 2 · 2
13 = 13
Step 2 : Match primes vertically:
| 4 | = | 2 | · | 2 | ||
| 2 | = | 2 | ||||
| 13 | = | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 4 | = | 2 | · | 2 | ||||
| 2 | = | 2 | ||||||
| 13 | = | 13 | ||||||
| LCM | = | 2 | · | 2 | · | 13 | = | 52 |
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