Find Least Common Multiple of 24, 11 and 14 using prime factorisation method.
Answer
LCM( 24, 11, 14 ) = 1848
Explanation
Step 1: Write down factorisation of each number:
24 = 2 · 2 · 2 · 3
11 = 11
14 = 2 · 7
Step 2 : Match primes vertically:
| 24 | = | 2 | · | 2 | · | 2 | · | 3 | ||||
| 11 | = | 11 | ||||||||||
| 14 | = | 2 | · | 7 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 24 | = | 2 | · | 2 | · | 2 | · | 3 | ||||||
| 11 | = | 11 | ||||||||||||
| 14 | = | 2 | · | 7 | ||||||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 7 | · | 11 | = | 1848 |
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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