Find Least Common Multiple of 445 and 1125 using prime factorisation method.
Answer
LCM( 445, 1125 ) = 100125
Explanation
Step 1: Write down factorisation of each number:
445 = 5 · 89
1125 = 3 · 3 · 5 · 5 · 5
Step 2 : Match primes vertically:
| 445 | = | 5 | · | 89 | ||||||||
| 1125 | = | 3 | · | 3 | · | 5 | · | 5 | · | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 445 | = | 5 | · | 89 | ||||||||||
| 1125 | = | 3 | · | 3 | · | 5 | · | 5 | · | 5 | ||||
| LCM | = | 3 | · | 3 | · | 5 | · | 5 | · | 5 | · | 89 | = | 100125 |
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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