Question
Find Least Common Multiple of 22, 11, 1 and 2 using prime factorisation method.
Answer
LCM( 22, 11, 1, 2 ) = 22
Explanation
Step 1: Write down factorisation of each number:
22 = 2 · 11
11 = 11
1 = 1
2 = 2
Step 2 : Match primes vertically:
| 22 | = | 2 | · | 11 | ||
| 11 | = | 11 | ||||
| 1 | = | 1 | ||||
| 2 | = | 2 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 22 | = | 2 | · | 11 | ||||
| 11 | = | 11 | ||||||
| 1 | = | 1 | ||||||
| 2 | = | 2 | ||||||
| LCM | = | 1 | · | 2 | · | 11 | = | 22 |
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