Find Least Common Multiple of 230, 160 and 280 using prime factorisation method.
Answer
LCM( 230, 160, 280 ) = 25760
Explanation
Step 1: Write down factorisation of each number:
230 = 2 · 5 · 23
160 = 2 · 2 · 2 · 2 · 2 · 5
280 = 2 · 2 · 2 · 5 · 7
Step 2 : Match primes vertically:
| 230 | = | 2 | · | 5 | · | 23 | ||||||||||
| 160 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 5 | ||||
| 280 | = | 2 | · | 2 | · | 2 | · | 5 | · | 7 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 230 | = | 2 | · | 5 | · | 23 | ||||||||||||
| 160 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 5 | ||||||
| 280 | = | 2 | · | 2 | · | 2 | · | 5 | · | 7 | ||||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 5 | · | 7 | · | 23 | = | 25760 |
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