LCM( 820, 168, 218 ) = 3753960
Step 1: Write down factorisation of each number:
820 = 2 · 2 · 5 · 41
168 = 2 · 2 · 2 · 3 · 7
218 = 2 · 109
Step 2 : Match primes vertically:
820 | = | 2 | · | 2 | · | 5 | · | 41 | ||||||||
168 | = | 2 | · | 2 | · | 2 | · | 3 | · | 7 | ||||||
218 | = | 2 | · | 109 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
820 | = | 2 | · | 2 | · | 5 | · | 41 | ||||||||||
168 | = | 2 | · | 2 | · | 2 | · | 3 | · | 7 | ||||||||
218 | = | 2 | · | 109 | ||||||||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 5 | · | 7 | · | 41 | · | 109 | = | 3753960 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.