Find Least Common Multiple of 4, 101 and 2 using prime factorisation method.
Answer
LCM( 4, 101, 2 ) = 404
Explanation
Step 1: Write down factorisation of each number:
4 = 2 · 2
101 = 101
2 = 2
Step 2 : Match primes vertically:
| 4 | = | 2 | · | 2 | ||
| 101 | = | 101 | ||||
| 2 | = | 2 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 4 | = | 2 | · | 2 | ||||
| 101 | = | 101 | ||||||
| 2 | = | 2 | ||||||
| LCM | = | 2 | · | 2 | · | 101 | = | 404 |
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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