LCM( 3900, 3510 ) = 35100
Step 1: Write down factorisation of each number:
3900 = 2 · 2 · 3 · 5 · 5 · 13
3510 = 2 · 3 · 3 · 3 · 5 · 13
Step 2 : Match primes vertically:
3900 | = | 2 | · | 2 | · | 3 | · | 5 | · | 5 | · | 13 | ||||
3510 | = | 2 | · | 3 | · | 3 | · | 3 | · | 5 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
3900 | = | 2 | · | 2 | · | 3 | · | 5 | · | 5 | · | 13 | ||||||
3510 | = | 2 | · | 3 | · | 3 | · | 3 | · | 5 | · | 13 | ||||||
LCM | = | 2 | · | 2 | · | 3 | · | 3 | · | 3 | · | 5 | · | 5 | · | 13 | = | 35100 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.