LCM( 842, 666, 724 ) = 101499732
Step 1: Write down factorisation of each number:
842 = 2 · 421
666 = 2 · 3 · 3 · 37
724 = 2 · 2 · 181
Step 2 : Match primes vertically:
842 | = | 2 | · | 421 | ||||||||||
666 | = | 2 | · | 3 | · | 3 | · | 37 | ||||||
724 | = | 2 | · | 2 | · | 181 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
842 | = | 2 | · | 421 | ||||||||||||
666 | = | 2 | · | 3 | · | 3 | · | 37 | ||||||||
724 | = | 2 | · | 2 | · | 181 | ||||||||||
LCM | = | 2 | · | 2 | · | 3 | · | 3 | · | 37 | · | 181 | · | 421 | = | 101499732 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.