Find Least Common Multiple of 5, 7, 11 and 12 using prime factorisation method.
Answer
LCM( 5, 7, 11, 12 ) = 4620
Explanation
Step 1: Write down factorisation of each number:
5 = 5
7 = 7
11 = 11
12 = 2 · 2 · 3
Step 2 : Match primes vertically:
| 5 | = | 5 | ||||||||||
| 7 | = | 7 | ||||||||||
| 11 | = | 11 | ||||||||||
| 12 | = | 2 | · | 2 | · | 3 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 5 | = | 5 | ||||||||||||
| 7 | = | 7 | ||||||||||||
| 11 | = | 11 | ||||||||||||
| 12 | = | 2 | · | 2 | · | 3 | ||||||||
| LCM | = | 2 | · | 2 | · | 3 | · | 5 | · | 7 | · | 11 | = | 4620 |
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