Find Least Common Multiple of 13, 29 and 21 using prime factorisation method.
Answer
LCM( 13, 29, 21 ) = 7917
Explanation
Step 1: Write down factorisation of each number:
13 = 13
29 = 29
21 = 3 · 7
Step 2 : Match primes vertically:
| 13 | = | 13 | ||||||
| 29 | = | 29 | ||||||
| 21 | = | 3 | · | 7 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 13 | = | 13 | ||||||||
| 29 | = | 29 | ||||||||
| 21 | = | 3 | · | 7 | ||||||
| LCM | = | 3 | · | 7 | · | 13 | · | 29 | = | 7917 |
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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