**LET'S UNDERSTAND WHY LCM IS CALLED AS SUCH**

Let's understand what LCM stands for and what we can infer from the name itself - generally solutions lie in the name itself and so there is no specific rules to memorize it - unless you want to take shortcuts (which is Okay and recommended after you understand the concept).

LCM stands for Least Common Multiple and so we need to first find the "Multiples", then take out "Common Multiples" from the list, and finding the "Least Common Multiple" from "Common Multiple" takes 10 seconds for Kindergartners.

Let's see how - we will find LCM of 3 and 5

**Step 1: Find Multiples**

*When you multiply a given whole number by any other whole number, the result is a multiple of that number.*

*Example:*Write down the first few multiples of 3 and 5*Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33,..*

*Multiples of 5 are 5, 10, 15, 20, 25, 30, 35,..*

**Step 2: Find Common Multiples**

*Common multiples of two or more numbers are those numbers that appear in multiples of all of them.*

*For example: 6 is the first common multiple of 2 and 3 since 6 appears in multiple of 2 as well as multiple of 3.*

*Example:**Find common multiples of 3 and 5.**Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33,..*

*Multiples of 5 are 5, 10, 15, 20, 25, 30, 35,..*

*Common multiples of 3 and 5 are 15, 30,...*

**Step 3: Find LCM (LEAST COMMON MULTIPLE)**

*The Least Common Multiple (L.C.M) is the least non-zero number in common multiples of two or more numbers.*

**Example:**Since the common multiples of 3 and 5 are 15, 30, 45, 60.etc. and**15**is the smallest of these numbers and is therefore LCM of 3 and 5.