Find Least Common Multiple of 14, 2, 7 and 3 using prime factorisation method.
Answer
LCM( 14, 2, 7, 3 ) = 42
Explanation
Step 1: Write down factorisation of each number:
14 = 2 · 7
2 = 2
7 = 7
3 = 3
Step 2 : Match primes vertically:
| 14 | = | 2 | · | 7 | ||
| 2 | = | 2 | ||||
| 7 | = | 7 | ||||
| 3 | = | 3 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 14 | = | 2 | · | 7 | ||||
| 2 | = | 2 | ||||||
| 7 | = | 7 | ||||||
| 3 | = | 3 | ||||||
| LCM | = | 2 | · | 3 | · | 7 | = | 42 |
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