Find Least Common Multiple of 73, 26 and 39 using prime factorisation method.
Answer
LCM( 73, 26, 39 ) = 5694
Explanation
Step 1: Write down factorisation of each number:
73 = 73
26 = 2 · 13
39 = 3 · 13
Step 2 : Match primes vertically:
| 73 | = | 73 | ||||||
| 26 | = | 2 | · | 13 | ||||
| 39 | = | 3 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 73 | = | 73 | ||||||||
| 26 | = | 2 | · | 13 | ||||||
| 39 | = | 3 | · | 13 | ||||||
| LCM | = | 2 | · | 3 | · | 13 | · | 73 | = | 5694 |
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