LCM( 114, 116, 254 ) = 839724
Step 1: Write down factorisation of each number:
114 = 2 · 3 · 19
116 = 2 · 2 · 29
254 = 2 · 127
Step 2 : Match primes vertically:
114 | = | 2 | · | 3 | · | 19 | ||||||
116 | = | 2 | · | 2 | · | 29 | ||||||
254 | = | 2 | · | 127 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
114 | = | 2 | · | 3 | · | 19 | ||||||||
116 | = | 2 | · | 2 | · | 29 | ||||||||
254 | = | 2 | · | 127 | ||||||||||
LCM | = | 2 | · | 2 | · | 3 | · | 19 | · | 29 | · | 127 | = | 839724 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.