LCM( 8, 51, 62 ) = 12648
Step 1: Write down factorisation of each number:
8 = 2 · 2 · 2
51 = 3 · 17
62 = 2 · 31
Step 2 : Match primes vertically:
8 | = | 2 | · | 2 | · | 2 | ||||||
51 | = | 3 | · | 17 | ||||||||
62 | = | 2 | · | 31 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
8 | = | 2 | · | 2 | · | 2 | ||||||||
51 | = | 3 | · | 17 | ||||||||||
62 | = | 2 | · | 31 | ||||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 17 | · | 31 | = | 12648 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.