LCM( 30, 46 ) = 690
Step 1: Write down factorisation of each number:
30 = 2 · 3 · 5
46 = 2 · 23
Step 2 : Match primes vertically:
30 | = | 2 | · | 3 | · | 5 | ||
46 | = | 2 | · | 23 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
30 | = | 2 | · | 3 | · | 5 | ||||
46 | = | 2 | · | 23 | ||||||
LCM | = | 2 | · | 3 | · | 5 | · | 23 | = | 690 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.