LCM( 120, 68 ) = 2040
Step 1: Write down factorisation of each number:
120 = 2 · 2 · 2 · 3 · 5
68 = 2 · 2 · 17
Step 2 : Match primes vertically:
120 | = | 2 | · | 2 | · | 2 | · | 3 | · | 5 | ||
68 | = | 2 | · | 2 | · | 17 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
120 | = | 2 | · | 2 | · | 2 | · | 3 | · | 5 | ||||
68 | = | 2 | · | 2 | · | 17 | ||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 5 | · | 17 | = | 2040 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.