Find Least Common Multiple of 26, 35 and 15 using prime factorisation method.
Answer
LCM( 26, 35, 15 ) = 2730
Explanation
Step 1: Write down factorisation of each number:
26 = 2 · 13
35 = 5 · 7
15 = 3 · 5
Step 2 : Match primes vertically:
| 26 | = | 2 | · | 13 | ||||||
| 35 | = | 5 | · | 7 | ||||||
| 15 | = | 3 | · | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 26 | = | 2 | · | 13 | ||||||||
| 35 | = | 5 | · | 7 | ||||||||
| 15 | = | 3 | · | 5 | ||||||||
| LCM | = | 2 | · | 3 | · | 5 | · | 7 | · | 13 | = | 2730 |
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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