Find Least Common Multiple of 999 and 99 using prime factorisation method.
Answer
LCM( 999, 99 ) = 10989
Explanation
Step 1: Write down factorisation of each number:
999 = 3 · 3 · 3 · 37
99 = 3 · 3 · 11
Step 2 : Match primes vertically:
| 999 | = | 3 | · | 3 | · | 3 | · | 37 | ||
| 99 | = | 3 | · | 3 | · | 11 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 999 | = | 3 | · | 3 | · | 3 | · | 37 | ||||
| 99 | = | 3 | · | 3 | · | 11 | ||||||
| LCM | = | 3 | · | 3 | · | 3 | · | 11 | · | 37 | = | 10989 |
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