Find Least Common Multiple of 2, 15, 25 and 36 using prime factorisation method.
Answer
LCM( 2, 15, 25, 36 ) = 900
Explanation
Step 1: Write down factorisation of each number:
2 = 2
15 = 3 · 5
25 = 5 · 5
36 = 2 · 2 · 3 · 3
Step 2 : Match primes vertically:
| 2 | = | 2 | ||||||||||
| 15 | = | 3 | · | 5 | ||||||||
| 25 | = | 5 | · | 5 | ||||||||
| 36 | = | 2 | · | 2 | · | 3 | · | 3 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 2 | = | 2 | ||||||||||||
| 15 | = | 3 | · | 5 | ||||||||||
| 25 | = | 5 | · | 5 | ||||||||||
| 36 | = | 2 | · | 2 | · | 3 | · | 3 | ||||||
| LCM | = | 2 | · | 2 | · | 3 | · | 3 | · | 5 | · | 5 | = | 900 |
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