Question
Find Least Common Multiple of 66, 103 and 43 using prime factorisation method.
Answer
LCM( 66, 103, 43 ) = 292314
Explanation
Step 1: Write down factorisation of each number:
66 = 2 · 3 · 11
103 = 103
43 = 43
Step 2 : Match primes vertically:
| 66 | = | 2 | · | 3 | · | 11 | ||||
| 103 | = | 103 | ||||||||
| 43 | = | 43 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 66 | = | 2 | · | 3 | · | 11 | ||||||
| 103 | = | 103 | ||||||||||
| 43 | = | 43 | ||||||||||
| LCM | = | 2 | · | 3 | · | 11 | · | 43 | · | 103 | = | 292314 |
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