Find Least Common Multiple of 5, 7, 2 and 8 using prime factorisation method.
Answer
LCM( 5, 7, 2, 8 ) = 280
Explanation
Step 1: Write down factorisation of each number:
5 = 5
7 = 7
2 = 2
8 = 2 · 2 · 2
Step 2 : Match primes vertically:
| 5 | = | 5 | ||||||||
| 7 | = | 7 | ||||||||
| 2 | = | 2 | ||||||||
| 8 | = | 2 | · | 2 | · | 2 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 5 | = | 5 | ||||||||||
| 7 | = | 7 | ||||||||||
| 2 | = | 2 | ||||||||||
| 8 | = | 2 | · | 2 | · | 2 | ||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 5 | · | 7 | = | 280 |
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