LCM( 95, 57, 23 ) = 6555
Step 1: Write down factorisation of each number:
95 = 5 · 19
57 = 3 · 19
23 = 23
Step 2 : Match primes vertically:
95 | = | 5 | · | 19 | ||||
57 | = | 3 | · | 19 | ||||
23 | = | 23 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
95 | = | 5 | · | 19 | ||||||
57 | = | 3 | · | 19 | ||||||
23 | = | 23 | ||||||||
LCM | = | 3 | · | 5 | · | 19 | · | 23 | = | 6555 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.