# Least Common Multiple

Easy

15

77.4% Acceptance

Your task is to implement a method `calculateLCM`

in the `Main`

class that calculates the Least Common Multiple (LCM) of an array of integers.

### What is LCM?

The Least Common Multiple (LCM) of two or more integers is the smallest positive integer that is divisible by each of these integers without leaving a remainder. For example, the LCM of 4 and 5 is 20, as 20 is the smallest number that both 4 and 5 can divide into without a remainder.

### Task

Implement the `calculateLCM`

method that takes an array of integers as input and returns their LCM. This method should be public, static, and reside within the `Main`

class.

### Challenges

You will face three challenges:

**Small, Consecutive Integers**: Calculate the LCM of an array`[1, 2, 3, 4]`

.**Multiples of 5 and 3**: Find the LCM of`[15, 20, 25]`

.**Common Factor Numbers**: Determine the LCM for`[12, 18]`

.

### Edge Cases to Consider

**Empty Array**: Your method should handle an empty array gracefully. You may choose to return a default value or throw an exception in this case.**Single Element**: If the array contains only one element, the LCM is the number itself.**Negative Numbers**: Consider how your method should behave with negative numbers. Typically, LCM is considered for positive integers, but handling negatives gracefully (e.g., by taking absolute values) might be necessary.**Large Numbers**: Ensure your method can handle large integers without running into performance issues or integer overflows.

### Challenges Information

#### Challenge 1: Handling Small, Consecutive Integers

**Task**: Implement the`calculateLCM`

method to find the LCM of a small set of consecutive integers. This method should be in a class named`Main`

and should be public and static.**Input**: An array containing`[1, 2, 3, 4]`

.**Expected Behavior**: Your method should return`12`

, as the LCM of 1, 2, 3, and 4 is 12.**Hint**: Consider how you can find the LCM of multiple numbers and handle an array as input.

#### Challenge 2: Working with Multiples of 5 and 3

**Task**: Modify the`calculateLCM`

method in the`Main`

class to correctly calculate the LCM of numbers, particularly focusing on multiples of 5 and 3.**Input**: An array containing`[15, 20, 25]`

.**Expected Behavior**: The method should return`300`

, as the LCM of 15, 20, and 25 is 300.**Hint**: This set of numbers requires careful consideration of common multiples and factors.

#### Challenge 3: Dealing with Evenly Spaced Numbers

**Task**: Ensure the`calculateLCM`

method in the`Main`

class accurately calculates the LCM of a pair of numbers with a common factor.**Input**: An array containing`[12, 18]`

.**Expected Behavior**: The method should return`36`

, as the LCM of 12 and 18 is 36.**Hint**: Look into how factors of these numbers can help determine their LCM efficiently.