LCM( 2, 4, 2 ) = 4
Step 1: Write down factorisation of each number:
2 = 2
4 = 2 · 2
2 = 2
Step 2 : Match primes vertically:
2 | = | 2 | ||
4 | = | 2 | · | 2 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
2 | = | 2 | ||||
4 | = | 2 | · | 2 | ||
LCM | = | 2 | · | 2 | = | 4 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.