LCM( 66, 88, 121 ) = 2904
Step 1: Write down factorisation of each number:
66 = 2 · 3 · 11
88 = 2 · 2 · 2 · 11
121 = 11 · 11
Step 2 : Match primes vertically:
66 | = | 2 | · | 3 | · | 11 | ||||||
88 | = | 2 | · | 2 | · | 2 | · | 11 | ||||
121 | = | 11 | · | 11 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
66 | = | 2 | · | 3 | · | 11 | ||||||||
88 | = | 2 | · | 2 | · | 2 | · | 11 | ||||||
121 | = | 11 | · | 11 | ||||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 11 | · | 11 | = | 2904 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.