Find Least Common Multiple of 406 and 757 using prime factorisation method.
Answer
LCM( 406, 757 ) = 307342
Explanation
Step 1: Write down factorisation of each number:
406 = 2 · 7 · 29
757 = 757
Step 2 : Match primes vertically:
| 406 | = | 2 | · | 7 | · | 29 | ||
| 757 | = | 757 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 406 | = | 2 | · | 7 | · | 29 | ||||
| 757 | = | 757 | ||||||||
| LCM | = | 2 | · | 7 | · | 29 | · | 757 | = | 307342 |
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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