LCM( 155, 187 ) = 28985
Step 1: Write down factorisation of each number:
155 = 5 · 31
187 = 11 · 17
Step 2 : Match primes vertically:
155 | = | 5 | · | 31 | ||||
187 | = | 11 | · | 17 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
155 | = | 5 | · | 31 | ||||||
187 | = | 11 | · | 17 | ||||||
LCM | = | 5 | · | 11 | · | 17 | · | 31 | = | 28985 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.