Find Least Common Multiple of 1100 and 57330 using prime factorisation method.
Answer
LCM( 1100, 57330 ) = 6306300
Explanation
Step 1: Write down factorisation of each number:
1100 = 2 · 2 · 5 · 5 · 11
57330 = 2 · 3 · 3 · 5 · 7 · 7 · 13
Step 2 : Match primes vertically:
| 1100 | = | 2 | · | 2 | · | 5 | · | 5 | · | 11 | ||||||||||
| 57330 | = | 2 | · | 3 | · | 3 | · | 5 | · | 7 | · | 7 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 1100 | = | 2 | · | 2 | · | 5 | · | 5 | · | 11 | ||||||||||||
| 57330 | = | 2 | · | 3 | · | 3 | · | 5 | · | 7 | · | 7 | · | 13 | ||||||||
| LCM | = | 2 | · | 2 | · | 3 | · | 3 | · | 5 | · | 5 | · | 7 | · | 7 | · | 11 | · | 13 | = | 6306300 |
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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