LCM( 3, 65, 44 ) = 8580
Step 1: Write down factorisation of each number:
3 = 3
65 = 5 · 13
44 = 2 · 2 · 11
Step 2 : Match primes vertically:
3 | = | 3 | ||||||||||
65 | = | 5 | · | 13 | ||||||||
44 | = | 2 | · | 2 | · | 11 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
3 | = | 3 | ||||||||||||
65 | = | 5 | · | 13 | ||||||||||
44 | = | 2 | · | 2 | · | 11 | ||||||||
LCM | = | 2 | · | 2 | · | 3 | · | 5 | · | 11 | · | 13 | = | 8580 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.