LCM( 25, 11, 538 ) = 147950
Step 1: Write down factorisation of each number:
25 = 5 · 5
11 = 11
538 = 2 · 269
Step 2 : Match primes vertically:
25 | = | 5 | · | 5 | ||||||
11 | = | 11 | ||||||||
538 | = | 2 | · | 269 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
25 | = | 5 | · | 5 | ||||||||
11 | = | 11 | ||||||||||
538 | = | 2 | · | 269 | ||||||||
LCM | = | 2 | · | 5 | · | 5 | · | 11 | · | 269 | = | 147950 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.