Find Least Common Multiple of 284 and 232 using prime factorisation method.
Answer
LCM( 284, 232 ) = 16472
Explanation
Step 1: Write down factorisation of each number:
284 = 2 · 2 · 71
232 = 2 · 2 · 2 · 29
Step 2 : Match primes vertically:
| 284 | = | 2 | · | 2 | · | 71 | ||||
| 232 | = | 2 | · | 2 | · | 2 | · | 29 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 284 | = | 2 | · | 2 | · | 71 | ||||||
| 232 | = | 2 | · | 2 | · | 2 | · | 29 | ||||
| LCM | = | 2 | · | 2 | · | 2 | · | 29 | · | 71 | = | 16472 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
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