Find Least Common Multiple of 8, 9 and 25 using prime factorisation method.
Answer
LCM( 8, 9, 25 ) = 1800
Explanation
Step 1: Write down factorisation of each number:
8 = 2 · 2 · 2
9 = 3 · 3
25 = 5 · 5
Step 2 : Match primes vertically:
| 8 | = | 2 | · | 2 | · | 2 | ||||||||
| 9 | = | 3 | · | 3 | ||||||||||
| 25 | = | 5 | · | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 8 | = | 2 | · | 2 | · | 2 | ||||||||||
| 9 | = | 3 | · | 3 | ||||||||||||
| 25 | = | 5 | · | 5 | ||||||||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 3 | · | 5 | · | 5 | = | 1800 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
This page was created using
LCM Calculator