LCM( 94, 32, 42 ) = 31584
Step 1: Write down factorisation of each number:
94 = 2 · 47
32 = 2 · 2 · 2 · 2 · 2
42 = 2 · 3 · 7
Step 2 : Match primes vertically:
94 | = | 2 | · | 47 | ||||||||||||
32 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | ||||||
42 | = | 2 | · | 3 | · | 7 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
94 | = | 2 | · | 47 | ||||||||||||||
32 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | ||||||||
42 | = | 2 | · | 3 | · | 7 | ||||||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 7 | · | 47 | = | 31584 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.