LCM( 102, 106, 115 ) = 621690
Step 1: Write down factorisation of each number:
102 = 2 · 3 · 17
106 = 2 · 53
115 = 5 · 23
Step 2 : Match primes vertically:
102 | = | 2 | · | 3 | · | 17 | ||||||
106 | = | 2 | · | 53 | ||||||||
115 | = | 5 | · | 23 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
102 | = | 2 | · | 3 | · | 17 | ||||||||
106 | = | 2 | · | 53 | ||||||||||
115 | = | 5 | · | 23 | ||||||||||
LCM | = | 2 | · | 3 | · | 5 | · | 17 | · | 23 | · | 53 | = | 621690 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.