LCM( 99, 27 ) = 297
Step 1: Write down factorisation of each number:
99 = 3 · 3 · 11
27 = 3 · 3 · 3
Step 2 : Match primes vertically:
99 | = | 3 | · | 3 | · | 11 | ||
27 | = | 3 | · | 3 | · | 3 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
99 | = | 3 | · | 3 | · | 11 | ||||
27 | = | 3 | · | 3 | · | 3 | ||||
LCM | = | 3 | · | 3 | · | 3 | · | 11 | = | 297 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.