Question
Find Least Common Multiple of 39083, 2299, 17 and 11 using prime factorisation method.
Answer
LCM( 39083, 2299, 17, 11 ) = 39083
Explanation
Step 1: Write down factorisation of each number:
39083 = 11 · 11 · 17 · 19
2299 = 11 · 11 · 19
17 = 17
11 = 11
Step 2 : Match primes vertically:
| 39083 | = | 11 | · | 11 | · | 17 | · | 19 |
| 2299 | = | 11 | · | 11 | · | 19 | ||
| 17 | = | 17 | ||||||
| 11 | = | 11 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 39083 | = | 11 | · | 11 | · | 17 | · | 19 | ||
| 2299 | = | 11 | · | 11 | · | 19 | ||||
| 17 | = | 17 | ||||||||
| 11 | = | 11 | ||||||||
| LCM | = | 11 | · | 11 | · | 17 | · | 19 | = | 39083 |
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