LCM( 1331, 105 ) = 139755
Step 1: Write down factorisation of each number:
1331 = 11 · 11 · 11
105 = 3 · 5 · 7
Step 2 : Match primes vertically:
1331 | = | 11 | · | 11 | · | 11 | ||||||
105 | = | 3 | · | 5 | · | 7 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
1331 | = | 11 | · | 11 | · | 11 | ||||||||
105 | = | 3 | · | 5 | · | 7 | ||||||||
LCM | = | 3 | · | 5 | · | 7 | · | 11 | · | 11 | · | 11 | = | 139755 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.