Find Least Common Multiple of 1, 3, 1, 6, 1, 5, 1 and 3 using prime factorisation method.
Answer
LCM( 1, 3, 1, 6, 1, 5, 1, 3 ) = 30
Explanation
Step 1: Write down factorisation of each number:
1 = 1
3 = 3
1 = 1
6 = 2 · 3
1 = 1
5 = 5
1 = 1
3 = 3
Step 2 : Match primes vertically:
| 1 | = | 1 | ||||||
| 3 | = | 3 | ||||||
| 6 | = | 2 | · | 3 | ||||
| 5 | = | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 1 | = | 1 | ||||||||
| 3 | = | 3 | ||||||||
| 6 | = | 2 | · | 3 | ||||||
| 5 | = | 5 | ||||||||
| LCM | = | 1 | · | 2 | · | 3 | · | 5 | = | 30 |
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