Find Least Common Multiple of 20, 22 and 26 using prime factorisation method.
Answer
LCM( 20, 22, 26 ) = 2860
Explanation
Step 1: Write down factorisation of each number:
20 = 2 · 2 · 5
22 = 2 · 11
26 = 2 · 13
Step 2 : Match primes vertically:
| 20 | = | 2 | · | 2 | · | 5 | ||||
| 22 | = | 2 | · | 11 | ||||||
| 26 | = | 2 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 20 | = | 2 | · | 2 | · | 5 | ||||||
| 22 | = | 2 | · | 11 | ||||||||
| 26 | = | 2 | · | 13 | ||||||||
| LCM | = | 2 | · | 2 | · | 5 | · | 11 | · | 13 | = | 2860 |
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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