LCM( 445, 572, 699 ) = 177923460
Step 1: Write down factorisation of each number:
445 = 5 · 89
572 = 2 · 2 · 11 · 13
699 = 3 · 233
Step 2 : Match primes vertically:
445 | = | 5 | · | 89 | ||||||||||||
572 | = | 2 | · | 2 | · | 11 | · | 13 | ||||||||
699 | = | 3 | · | 233 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
445 | = | 5 | · | 89 | ||||||||||||||
572 | = | 2 | · | 2 | · | 11 | · | 13 | ||||||||||
699 | = | 3 | · | 233 | ||||||||||||||
LCM | = | 2 | · | 2 | · | 3 | · | 5 | · | 11 | · | 13 | · | 89 | · | 233 | = | 177923460 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.