Find Least Common Multiple of 17, 30 and 11 using prime factorisation method.
Answer
LCM( 17, 30, 11 ) = 5610
Explanation
Step 1: Write down factorisation of each number:
17 = 17
30 = 2 · 3 · 5
11 = 11
Step 2 : Match primes vertically:
| 17 | = | 17 | ||||||||
| 30 | = | 2 | · | 3 | · | 5 | ||||
| 11 | = | 11 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 17 | = | 17 | ||||||||||
| 30 | = | 2 | · | 3 | · | 5 | ||||||
| 11 | = | 11 | ||||||||||
| LCM | = | 2 | · | 3 | · | 5 | · | 11 | · | 17 | = | 5610 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
This page was created using
LCM Calculator