LCM( 3, 5, 11 ) = 165
Step 1: Write down factorisation of each number:
3 = 3
5 = 5
11 = 11
Step 2 : Match primes vertically:
3 | = | 3 | ||||
5 | = | 5 | ||||
11 | = | 11 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
3 | = | 3 | ||||||
5 | = | 5 | ||||||
11 | = | 11 | ||||||
LCM | = | 3 | · | 5 | · | 11 | = | 165 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.