Question
Find Least Common Multiple of 106 and 94 using prime factorisation method.
Answer
LCM( 106, 94 ) = 4982
Explanation
Step 1: Write down factorisation of each number:
106 = 2 · 53
94 = 2 · 47
Step 2 : Match primes vertically:
| 106 | = | 2 | · | 53 | ||
| 94 | = | 2 | · | 47 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 106 | = | 2 | · | 53 | ||||
| 94 | = | 2 | · | 47 | ||||
| LCM | = | 2 | · | 47 | · | 53 | = | 4982 |
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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