LCM( 678, 188 ) = 63732
Step 1: Write down factorisation of each number:
678 = 2 · 3 · 113
188 = 2 · 2 · 47
Step 2 : Match primes vertically:
678 | = | 2 | · | 3 | · | 113 | ||||
188 | = | 2 | · | 2 | · | 47 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
678 | = | 2 | · | 3 | · | 113 | ||||||
188 | = | 2 | · | 2 | · | 47 | ||||||
LCM | = | 2 | · | 2 | · | 3 | · | 47 | · | 113 | = | 63732 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.