LCM( 142, 256, 482 ) = 4380416
Step 1: Write down factorisation of each number:
142 = 2 · 71
256 = 2 · 2 · 2 · 2 · 2 · 2 · 2 · 2
482 = 2 · 241
Step 2 : Match primes vertically:
142 | = | 2 | · | 71 | ||||||||||||||||
256 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | ||||
482 | = | 2 | · | 241 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
142 | = | 2 | · | 71 | ||||||||||||||||||
256 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | ||||||
482 | = | 2 | · | 241 | ||||||||||||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 71 | · | 241 | = | 4380416 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.