LCM( 48, 39 ) = 624
Step 1: Write down factorisation of each number:
48 = 2 · 2 · 2 · 2 · 3
39 = 3 · 13
Step 2 : Match primes vertically:
48 | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | ||
39 | = | 3 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
48 | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | ||||
39 | = | 3 | · | 13 | ||||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 13 | = | 624 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.