Find Least Common Multiple of 4, 6, 8, 12 and 26 using prime factorisation method.
Answer
LCM( 4, 6, 8, 12, 26 ) = 312
Explanation
Step 1: Write down factorisation of each number:
4 = 2 · 2
6 = 2 · 3
8 = 2 · 2 · 2
12 = 2 · 2 · 3
26 = 2 · 13
Step 2 : Match primes vertically:
| 4 | = | 2 | · | 2 | ||||||
| 6 | = | 2 | · | 3 | ||||||
| 8 | = | 2 | · | 2 | · | 2 | ||||
| 12 | = | 2 | · | 2 | · | 3 | ||||
| 26 | = | 2 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 4 | = | 2 | · | 2 | ||||||||
| 6 | = | 2 | · | 3 | ||||||||
| 8 | = | 2 | · | 2 | · | 2 | ||||||
| 12 | = | 2 | · | 2 | · | 3 | ||||||
| 26 | = | 2 | · | 13 | ||||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 13 | = | 312 |
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