Question
Find Least Common Multiple of 1, 10, 1, 12, 1 and 15 using prime factorisation method.
Answer
LCM( 1, 10, 1, 12, 1, 15 ) = 60
Explanation
Step 1: Write down factorisation of each number:
1 = 1
10 = 2 · 5
1 = 1
12 = 2 · 2 · 3
1 = 1
15 = 3 · 5
Step 2 : Match primes vertically:
| 1 | = | 1 | ||||||||
| 10 | = | 2 | · | 5 | ||||||
| 12 | = | 2 | · | 2 | · | 3 | ||||
| 15 | = | 3 | · | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 1 | = | 1 | ||||||||||
| 10 | = | 2 | · | 5 | ||||||||
| 12 | = | 2 | · | 2 | · | 3 | ||||||
| 15 | = | 3 | · | 5 | ||||||||
| LCM | = | 1 | · | 2 | · | 2 | · | 3 | · | 5 | = | 60 |
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