Find Least Common Multiple of 12, 18, 2 and 25 using prime factorisation method.
Answer
LCM( 12, 18, 2, 25 ) = 900
Explanation
Step 1: Write down factorisation of each number:
12 = 2 · 2 · 3
18 = 2 · 3 · 3
2 = 2
25 = 5 · 5
Step 2 : Match primes vertically:
| 12 | = | 2 | · | 2 | · | 3 | ||||||
| 18 | = | 2 | · | 3 | · | 3 | ||||||
| 2 | = | 2 | ||||||||||
| 25 | = | 5 | · | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 12 | = | 2 | · | 2 | · | 3 | ||||||||
| 18 | = | 2 | · | 3 | · | 3 | ||||||||
| 2 | = | 2 | ||||||||||||
| 25 | = | 5 | · | 5 | ||||||||||
| LCM | = | 2 | · | 2 | · | 3 | · | 3 | · | 5 | · | 5 | = | 900 |
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