LCM( 210, 7735 ) = 46410
Step 1: Write down factorisation of each number:
210 = 2 · 3 · 5 · 7
7735 = 5 · 7 · 13 · 17
Step 2 : Match primes vertically:
210 | = | 2 | · | 3 | · | 5 | · | 7 | ||||
7735 | = | 5 | · | 7 | · | 13 | · | 17 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
210 | = | 2 | · | 3 | · | 5 | · | 7 | ||||||
7735 | = | 5 | · | 7 | · | 13 | · | 17 | ||||||
LCM | = | 2 | · | 3 | · | 5 | · | 7 | · | 13 | · | 17 | = | 46410 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.