LCM( 68, 328 ) = 5576
Step 1: Write down factorisation of each number:
68 = 2 · 2 · 17
328 = 2 · 2 · 2 · 41
Step 2 : Match primes vertically:
68 | = | 2 | · | 2 | · | 17 | ||||
328 | = | 2 | · | 2 | · | 2 | · | 41 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
68 | = | 2 | · | 2 | · | 17 | ||||||
328 | = | 2 | · | 2 | · | 2 | · | 41 | ||||
LCM | = | 2 | · | 2 | · | 2 | · | 17 | · | 41 | = | 5576 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.