LCM( 206, 20 ) = 2060
Step 1: Write down factorisation of each number:
206 = 2 · 103
20 = 2 · 2 · 5
Step 2 : Match primes vertically:
206 | = | 2 | · | 103 | ||||
20 | = | 2 | · | 2 | · | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
206 | = | 2 | · | 103 | ||||||
20 | = | 2 | · | 2 | · | 5 | ||||
LCM | = | 2 | · | 2 | · | 5 | · | 103 | = | 2060 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.