Question
Find Least Common Multiple of 10, 15, 50 and 100 using prime factorisation method.
Answer
LCM( 10, 15, 50, 100 ) = 300
Explanation
Step 1: Write down factorisation of each number:
10 = 2 · 5
15 = 3 · 5
50 = 2 · 5 · 5
100 = 2 · 2 · 5 · 5
Step 2 : Match primes vertically:
| 10 | = | 2 | · | 5 | ||||||
| 15 | = | 3 | · | 5 | ||||||
| 50 | = | 2 | · | 5 | · | 5 | ||||
| 100 | = | 2 | · | 2 | · | 5 | · | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 10 | = | 2 | · | 5 | ||||||||
| 15 | = | 3 | · | 5 | ||||||||
| 50 | = | 2 | · | 5 | · | 5 | ||||||
| 100 | = | 2 | · | 2 | · | 5 | · | 5 | ||||
| LCM | = | 2 | · | 2 | · | 3 | · | 5 | · | 5 | = | 300 |
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