Find Least Common Multiple of 10, 8, 6, 25, 2, 5 and 4 using prime factorisation method.
Answer
LCM( 10, 8, 6, 25, 2, 5, 4 ) = 600
Explanation
Step 1: Write down factorisation of each number:
10 = 2 · 5
8 = 2 · 2 · 2
6 = 2 · 3
25 = 5 · 5
2 = 2
5 = 5
4 = 2 · 2
Step 2 : Match primes vertically:
| 10 | = | 2 | · | 5 | ||||||||
| 8 | = | 2 | · | 2 | · | 2 | ||||||
| 6 | = | 2 | · | 3 | ||||||||
| 25 | = | 5 | · | 5 | ||||||||
| 2 | = | 2 | ||||||||||
| 5 | = | 5 | ||||||||||
| 4 | = | 2 | · | 2 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 10 | = | 2 | · | 5 | ||||||||||
| 8 | = | 2 | · | 2 | · | 2 | ||||||||
| 6 | = | 2 | · | 3 | ||||||||||
| 25 | = | 5 | · | 5 | ||||||||||
| 2 | = | 2 | ||||||||||||
| 5 | = | 5 | ||||||||||||
| 4 | = | 2 | · | 2 | ||||||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 5 | · | 5 | = | 600 |
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