LCM( 260, 380, 480 ) = 118560
Step 1: Write down factorisation of each number:
260 = 2 · 2 · 5 · 13
380 = 2 · 2 · 5 · 19
480 = 2 · 2 · 2 · 2 · 2 · 3 · 5
Step 2 : Match primes vertically:
260 | = | 2 | · | 2 | · | 5 | · | 13 | ||||||||||
380 | = | 2 | · | 2 | · | 5 | · | 19 | ||||||||||
480 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
260 | = | 2 | · | 2 | · | 5 | · | 13 | ||||||||||||
380 | = | 2 | · | 2 | · | 5 | · | 19 | ||||||||||||
480 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 5 | ||||||
LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 5 | · | 13 | · | 19 | = | 118560 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.