Find Least Common Multiple of 510 and 92 using prime factorisation method.
Answer
LCM( 510, 92 ) = 23460
Explanation
Step 1: Write down factorisation of each number:
510 = 2 · 3 · 5 · 17
92 = 2 · 2 · 23
Step 2 : Match primes vertically:
| 510 | = | 2 | · | 3 | · | 5 | · | 17 | ||||
| 92 | = | 2 | · | 2 | · | 23 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 510 | = | 2 | · | 3 | · | 5 | · | 17 | ||||||
| 92 | = | 2 | · | 2 | · | 23 | ||||||||
| LCM | = | 2 | · | 2 | · | 3 | · | 5 | · | 17 | · | 23 | = | 23460 |
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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