Find Least Common Multiple of 368 and 345 using prime factorisation method.
Answer
LCM( 368, 345 ) = 5520
Explanation
Step 1: Write down factorisation of each number:
368 = 2 · 2 · 2 · 2 · 23
345 = 3 · 5 · 23
Step 2 : Match primes vertically:
| 368 | = | 2 | · | 2 | · | 2 | · | 2 | · | 23 | ||||
| 345 | = | 3 | · | 5 | · | 23 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 368 | = | 2 | · | 2 | · | 2 | · | 2 | · | 23 | ||||||
| 345 | = | 3 | · | 5 | · | 23 | ||||||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 5 | · | 23 | = | 5520 |
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