Question
Find Least Common Multiple of 2, 1, 3, 3, 1, 5 and 9 using prime factorisation method.
Answer
LCM( 2, 1, 3, 3, 1, 5, 9 ) = 90
Explanation
Step 1: Write down factorisation of each number:
2 = 2
1 = 1
3 = 3
3 = 3
1 = 1
5 = 5
9 = 3 · 3
Step 2 : Match primes vertically:
| 2 | = | 2 | ||||||||
| 1 | = | 1 | ||||||||
| 3 | = | 3 | ||||||||
| 5 | = | 5 | ||||||||
| 9 | = | 3 | · | 3 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 2 | = | 2 | ||||||||||
| 1 | = | 1 | ||||||||||
| 3 | = | 3 | ||||||||||
| 5 | = | 5 | ||||||||||
| 9 | = | 3 | · | 3 | ||||||||
| LCM | = | 1 | · | 2 | · | 3 | · | 3 | · | 5 | = | 90 |
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