LCM( 462, 858 ) = 6006
Step 1: Write down factorisation of each number:
462 = 2 · 3 · 7 · 11
858 = 2 · 3 · 11 · 13
Step 2 : Match primes vertically:
462 | = | 2 | · | 3 | · | 7 | · | 11 | ||
858 | = | 2 | · | 3 | · | 11 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
462 | = | 2 | · | 3 | · | 7 | · | 11 | ||||
858 | = | 2 | · | 3 | · | 11 | · | 13 | ||||
LCM | = | 2 | · | 3 | · | 7 | · | 11 | · | 13 | = | 6006 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.