Find Least Common Multiple of 1001 and 121 using prime factorisation method.
Answer
LCM( 1001, 121 ) = 11011
Explanation
Step 1: Write down factorisation of each number:
1001 = 7 · 11 · 13
121 = 11 · 11
Step 2 : Match primes vertically:
| 1001 | = | 7 | · | 11 | · | 13 | ||
| 121 | = | 11 | · | 11 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 1001 | = | 7 | · | 11 | · | 13 | ||||
| 121 | = | 11 | · | 11 | ||||||
| LCM | = | 7 | · | 11 | · | 11 | · | 13 | = | 11011 |
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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