Find Least Common Multiple of 28, 48 and 82 using prime factorisation method.
Answer
LCM( 28, 48, 82 ) = 13776
Explanation
Step 1: Write down factorisation of each number:
28 = 2 · 2 · 7
48 = 2 · 2 · 2 · 2 · 3
82 = 2 · 41
Step 2 : Match primes vertically:
| 28 | = | 2 | · | 2 | · | 7 | ||||||||
| 48 | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | ||||
| 82 | = | 2 | · | 41 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 28 | = | 2 | · | 2 | · | 7 | ||||||||||
| 48 | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | ||||||
| 82 | = | 2 | · | 41 | ||||||||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 7 | · | 41 | = | 13776 |
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