LCM( 25, 150, 13 ) = 1950
Step 1: Write down factorisation of each number:
25 = 5 · 5
150 = 2 · 3 · 5 · 5
13 = 13
Step 2 : Match primes vertically:
25 | = | 5 | · | 5 | ||||||
150 | = | 2 | · | 3 | · | 5 | · | 5 | ||
13 | = | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
25 | = | 5 | · | 5 | ||||||||
150 | = | 2 | · | 3 | · | 5 | · | 5 | ||||
13 | = | 13 | ||||||||||
LCM | = | 2 | · | 3 | · | 5 | · | 5 | · | 13 | = | 1950 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.