LCM( 8848, 6486 ) = 28694064
Step 1: Write down factorisation of each number:
8848 = 2 · 2 · 2 · 2 · 7 · 79
6486 = 2 · 3 · 23 · 47
Step 2 : Match primes vertically:
8848 | = | 2 | · | 2 | · | 2 | · | 2 | · | 7 | · | 79 | ||||||
6486 | = | 2 | · | 3 | · | 23 | · | 47 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
8848 | = | 2 | · | 2 | · | 2 | · | 2 | · | 7 | · | 79 | ||||||||
6486 | = | 2 | · | 3 | · | 23 | · | 47 | ||||||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 7 | · | 23 | · | 47 | · | 79 | = | 28694064 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.