Find Least Common Multiple of 9 and 31 using prime factorisation method.
Answer
LCM( 9, 31 ) = 279
Explanation
Step 1: Write down factorisation of each number:
9 = 3 · 3
31 = 31
Step 2 : Match primes vertically:
| 9 | = | 3 | · | 3 | ||
| 31 | = | 31 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 9 | = | 3 | · | 3 | ||||
| 31 | = | 31 | ||||||
| LCM | = | 3 | · | 3 | · | 31 | = | 279 |
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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