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Hello Aspirants ! In this post we will discuss about various " methods used to find LCM of two or more numbers ".

Let's start the session !

Mainly there are two methods used to find out LCM of two or more numbers which are as follows :

**1. PRIME FACTORIZATION METHOD**

**Step 1 :**Express each numbers as a product of prime factors

**Step 2 :**Multiply the highest powers of all the prime factors of the required numbers to get the LCM

Let's see with an examples !

**Question 1 :**Find the LCM of 12, 24 and 36 by prime factorization method

**Step 1 :**

12 can be expressed as 2 x 2 x 3 = 2

^{2}x 3

^{1}

24 can be expressed as 2 x 2 x 2 x 3 = 2

^{3}x 3

^{1}

36 can be expressed as 2 x 2 x 3 x 3 = 2

^{2}x 3

^{2}

**Step 2 :**

Now, highest power of all the prime factors of 12, 24 and 36 are 2

^{3}and 3

^{2}, thus LCM of 12, 24 and 36 are 2

^{3}x 3

^{2}= 72

**2. BASIC LINE DIVISION METHOD**

**Step 1 :**Write numbers on RHS and on LHS write prime factors which divides those numbers

**Step 2 :**Write quotients we get upon division in RHS and repeat the process until we get all quotients as 1.

**Step 3.**Multiply all numbers on LHS to get the LCM

Let's see with an example !

**Question 2 :**Find the LCM of 12, 24 and 36 by basic line division method

Thus, LCM of 12, 24 and 36 is 72.

**At last, A special thanks t**

**o choose LOUD STUDY.**

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