Question
Find Least Common Multiple of 11, 21 and 23 using ladder method..
Answer
LCM( 11, 21, 23 ) = 5313
Explanation
Step 1 : Place the numbers inside division bar:
| 11 | 21 | 23 |
Step 2 : Find a prime number which can divide at least two of your numbers.
Since there are no primes that divides at least two of given numbers, we conclude that the LCM is a product of starting numbers.
LCM = 11 · 21 · 23 = 5313
This solution can be visualized using a Venn diagram.
0,0
11
21
23
11
3
7
23
The LCM is equal to the product of all the numbers on the diagram.
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