How to Find LCM with Prime Factorisation

Step 1: Prime Factorisation
- Begin by finding the prime factors of each number you want to find the LCM of.
- Break down each number into its prime factors by dividing it by the smallest prime numbers (2, 3, 5, 7, etc.) until you cannot divide it any further.

Step 2: Identify Common and Uncommon Factors
- Once you have the prime factors of each number, identify the common factors they share.
- Take the highest power of each common factor to form the LCM.

Step 3: Multiply the Highest Powers
- Multiply the highest powers of all the common factors together to find the LCM.
- If there are any uncommon factors, include them in the multiplication as well.

Step 4: Calculate the LCM
- After multiplying all the highest powers of common and uncommon factors, you will get the LCM of the given numbers.
By following these steps and using prime factorisation, you can efficiently find the LCM of any set of numbers.