LCM( 104, 78, 260 ) = 1560
Step 1: Write down factorisation of each number:
104 = 2 · 2 · 2 · 13
78 = 2 · 3 · 13
260 = 2 · 2 · 5 · 13
Step 2 : Match primes vertically:
104 | = | 2 | · | 2 | · | 2 | · | 13 | ||||
78 | = | 2 | · | 3 | · | 13 | ||||||
260 | = | 2 | · | 2 | · | 5 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
104 | = | 2 | · | 2 | · | 2 | · | 13 | ||||||
78 | = | 2 | · | 3 | · | 13 | ||||||||
260 | = | 2 | · | 2 | · | 5 | · | 13 | ||||||
LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 5 | · | 13 | = | 1560 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.