LCM( 215, 9 ) = 1935
Step 1: Write down factorisation of each number:
215 = 5 · 43
9 = 3 · 3
Step 2 : Match primes vertically:
215 | = | 5 | · | 43 | ||||
9 | = | 3 | · | 3 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
215 | = | 5 | · | 43 | ||||||
9 | = | 3 | · | 3 | ||||||
LCM | = | 3 | · | 3 | · | 5 | · | 43 | = | 1935 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.