LCM( 103, 412 ) = 412
Step 1: Write down factorisation of each number:
103 = 103
412 = 2 · 2 · 103
Step 2 : Match primes vertically:
103 | = | 103 | ||||
412 | = | 2 | · | 2 | · | 103 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
103 | = | 103 | ||||||
412 | = | 2 | · | 2 | · | 103 | ||
LCM | = | 2 | · | 2 | · | 103 | = | 412 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.