LCM( 67, 56, 66 ) = 123816
Step 1: Write down factorisation of each number:
67 = 67
56 = 2 · 2 · 2 · 7
66 = 2 · 3 · 11
Step 2 : Match primes vertically:
67 | = | 67 | ||||||||||||
56 | = | 2 | · | 2 | · | 2 | · | 7 | ||||||
66 | = | 2 | · | 3 | · | 11 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
67 | = | 67 | ||||||||||||||
56 | = | 2 | · | 2 | · | 2 | · | 7 | ||||||||
66 | = | 2 | · | 3 | · | 11 | ||||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 7 | · | 11 | · | 67 | = | 123816 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.