Find Least Common Multiple of 534, 801 and 1335 using prime factorisation method.
Answer
LCM( 534, 801, 1335 ) = 8010
Explanation
Step 1: Write down factorisation of each number:
534 = 2 · 3 · 89
801 = 3 · 3 · 89
1335 = 3 · 5 · 89
Step 2 : Match primes vertically:
| 534 | = | 2 | · | 3 | · | 89 | ||||
| 801 | = | 3 | · | 3 | · | 89 | ||||
| 1335 | = | 3 | · | 5 | · | 89 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 534 | = | 2 | · | 3 | · | 89 | ||||||
| 801 | = | 3 | · | 3 | · | 89 | ||||||
| 1335 | = | 3 | · | 5 | · | 89 | ||||||
| LCM | = | 2 | · | 3 | · | 3 | · | 5 | · | 89 | = | 8010 |
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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