LCM( 55, 77, 64 ) = 24640
Step 1: Write down factorisation of each number:
55 = 5 · 11
77 = 7 · 11
64 = 2 · 2 · 2 · 2 · 2 · 2
Step 2 : Match primes vertically:
55 | = | 5 | · | 11 | ||||||||||||||
77 | = | 7 | · | 11 | ||||||||||||||
64 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
55 | = | 5 | · | 11 | ||||||||||||||||
77 | = | 7 | · | 11 | ||||||||||||||||
64 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | ||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 5 | · | 7 | · | 11 | = | 24640 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.