LCM( 40, 54, 62 ) = 33480
Step 1: Write down factorisation of each number:
40 = 2 · 2 · 2 · 5
54 = 2 · 3 · 3 · 3
62 = 2 · 31
Step 2 : Match primes vertically:
40 | = | 2 | · | 2 | · | 2 | · | 5 | ||||||||
54 | = | 2 | · | 3 | · | 3 | · | 3 | ||||||||
62 | = | 2 | · | 31 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
40 | = | 2 | · | 2 | · | 2 | · | 5 | ||||||||||
54 | = | 2 | · | 3 | · | 3 | · | 3 | ||||||||||
62 | = | 2 | · | 31 | ||||||||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 3 | · | 3 | · | 5 | · | 31 | = | 33480 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.