LCM( 2401, 256 ) = 614656
Step 1: Write down factorisation of each number:
2401 = 7 · 7 · 7 · 7
256 = 2 · 2 · 2 · 2 · 2 · 2 · 2 · 2
Step 2 : Match primes vertically:
2401 | = | 7 | · | 7 | · | 7 | · | 7 | ||||||||||||||||
256 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
2401 | = | 7 | · | 7 | · | 7 | · | 7 | ||||||||||||||||||
256 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | ||||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 7 | · | 7 | · | 7 | · | 7 | = | 614656 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.