LCM( 56, 72, 104 ) = 6552
Step 1: Write down factorisation of each number:
56 = 2 · 2 · 2 · 7
72 = 2 · 2 · 2 · 3 · 3
104 = 2 · 2 · 2 · 13
Step 2 : Match primes vertically:
56 | = | 2 | · | 2 | · | 2 | · | 7 | ||||||
72 | = | 2 | · | 2 | · | 2 | · | 3 | · | 3 | ||||
104 | = | 2 | · | 2 | · | 2 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
56 | = | 2 | · | 2 | · | 2 | · | 7 | ||||||||
72 | = | 2 | · | 2 | · | 2 | · | 3 | · | 3 | ||||||
104 | = | 2 | · | 2 | · | 2 | · | 13 | ||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 3 | · | 7 | · | 13 | = | 6552 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.