LCM( 65, 104, 130 ) = 520
Step 1: Write down factorisation of each number:
65 = 5 · 13
104 = 2 · 2 · 2 · 13
130 = 2 · 5 · 13
Step 2 : Match primes vertically:
65 | = | 5 | · | 13 | ||||||
104 | = | 2 | · | 2 | · | 2 | · | 13 | ||
130 | = | 2 | · | 5 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
65 | = | 5 | · | 13 | ||||||||
104 | = | 2 | · | 2 | · | 2 | · | 13 | ||||
130 | = | 2 | · | 5 | · | 13 | ||||||
LCM | = | 2 | · | 2 | · | 2 | · | 5 | · | 13 | = | 520 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.