LCM( 64, 66, 76 ) = 40128
Step 1: Write down factorisation of each number:
64 = 2 · 2 · 2 · 2 · 2 · 2
66 = 2 · 3 · 11
76 = 2 · 2 · 19
Step 2 : Match primes vertically:
64 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | ||||||
66 | = | 2 | · | 3 | · | 11 | ||||||||||||
76 | = | 2 | · | 2 | · | 19 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
64 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | ||||||||
66 | = | 2 | · | 3 | · | 11 | ||||||||||||||
76 | = | 2 | · | 2 | · | 19 | ||||||||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 11 | · | 19 | = | 40128 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.