Find Least Common Multiple of 3810 and 417 using prime factorisation method.
Answer
LCM( 3810, 417 ) = 529590
Explanation
Step 1: Write down factorisation of each number:
3810 = 2 · 3 · 5 · 127
417 = 3 · 139
Step 2 : Match primes vertically:
| 3810 | = | 2 | · | 3 | · | 5 | · | 127 | ||
| 417 | = | 3 | · | 139 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 3810 | = | 2 | · | 3 | · | 5 | · | 127 | ||||
| 417 | = | 3 | · | 139 | ||||||||
| LCM | = | 2 | · | 3 | · | 5 | · | 127 | · | 139 | = | 529590 |
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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