Find Least Common Multiple of 218, 23 and 98 using prime factorisation method.
Answer
LCM( 218, 23, 98 ) = 245686
Explanation
Step 1: Write down factorisation of each number:
218 = 2 · 109
23 = 23
98 = 2 · 7 · 7
Step 2 : Match primes vertically:
| 218 | = | 2 | · | 109 | ||||||
| 23 | = | 23 | ||||||||
| 98 | = | 2 | · | 7 | · | 7 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 218 | = | 2 | · | 109 | ||||||||
| 23 | = | 23 | ||||||||||
| 98 | = | 2 | · | 7 | · | 7 | ||||||
| LCM | = | 2 | · | 7 | · | 7 | · | 23 | · | 109 | = | 245686 |
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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