LCM( 714, 814 ) = 290598
Step 1: Write down factorisation of each number:
714 = 2 · 3 · 7 · 17
814 = 2 · 11 · 37
Step 2 : Match primes vertically:
714 | = | 2 | · | 3 | · | 7 | · | 17 | ||||
814 | = | 2 | · | 11 | · | 37 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
714 | = | 2 | · | 3 | · | 7 | · | 17 | ||||||
814 | = | 2 | · | 11 | · | 37 | ||||||||
LCM | = | 2 | · | 3 | · | 7 | · | 11 | · | 17 | · | 37 | = | 290598 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.