Find Least Common Multiple of 315 and 865 using prime factorisation method.
Answer
LCM( 315, 865 ) = 54495
Explanation
Step 1: Write down factorisation of each number:
315 = 3 · 3 · 5 · 7
865 = 5 · 173
Step 2 : Match primes vertically:
| 315 | = | 3 | · | 3 | · | 5 | · | 7 | ||
| 865 | = | 5 | · | 173 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 315 | = | 3 | · | 3 | · | 5 | · | 7 | ||||
| 865 | = | 5 | · | 173 | ||||||||
| LCM | = | 3 | · | 3 | · | 5 | · | 7 | · | 173 | = | 54495 |
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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