LCM( 6, 2, 66 ) = 66
Step 1: Write down factorisation of each number:
6 = 2 · 3
2 = 2
66 = 2 · 3 · 11
Step 2 : Match primes vertically:
6 | = | 2 | · | 3 | ||
2 | = | 2 | ||||
66 | = | 2 | · | 3 | · | 11 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
6 | = | 2 | · | 3 | ||||
2 | = | 2 | ||||||
66 | = | 2 | · | 3 | · | 11 | ||
LCM | = | 2 | · | 3 | · | 11 | = | 66 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.