Find Least Common Multiple of 4, 10 and 12 using prime factorisation method.
Answer
LCM( 4, 10, 12 ) = 60
Explanation
Step 1: Write down factorisation of each number:
4 = 2 · 2
10 = 2 · 5
12 = 2 · 2 · 3
Step 2 : Match primes vertically:
| 4 | = | 2 | · | 2 | ||||
| 10 | = | 2 | · | 5 | ||||
| 12 | = | 2 | · | 2 | · | 3 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 4 | = | 2 | · | 2 | ||||||
| 10 | = | 2 | · | 5 | ||||||
| 12 | = | 2 | · | 2 | · | 3 | ||||
| LCM | = | 2 | · | 2 | · | 3 | · | 5 | = | 60 |
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