Find Least Common Multiple of 660, 1386 and 2310 using prime factorisation method.
Answer
LCM( 660, 1386, 2310 ) = 13860
Explanation
Step 1: Write down factorisation of each number:
660 = 2 · 2 · 3 · 5 · 11
1386 = 2 · 3 · 3 · 7 · 11
2310 = 2 · 3 · 5 · 7 · 11
Step 2 : Match primes vertically:
| 660 | = | 2 | · | 2 | · | 3 | · | 5 | · | 11 | ||||
| 1386 | = | 2 | · | 3 | · | 3 | · | 7 | · | 11 | ||||
| 2310 | = | 2 | · | 3 | · | 5 | · | 7 | · | 11 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 660 | = | 2 | · | 2 | · | 3 | · | 5 | · | 11 | ||||||
| 1386 | = | 2 | · | 3 | · | 3 | · | 7 | · | 11 | ||||||
| 2310 | = | 2 | · | 3 | · | 5 | · | 7 | · | 11 | ||||||
| LCM | = | 2 | · | 2 | · | 3 | · | 3 | · | 5 | · | 7 | · | 11 | = | 13860 |
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