The smallest number which is exactly divisible by all the given Numbers that is called LCM.

**There are two methods to calculate LCM of given numbers**

- Prime Factorization Method
- Division Method

**LCM = aXb / gcd (a, b)**

** LCM formula for fraction is given by,**

**For Example:**

**Q1. Find the LCM of (40, 45)**

**Solution by Method:**

Given Numbers: 40, 45

Find the Greatest common Factor of given numbers

40 = 2X**5**X4

45 = **5**X9

Gcd(40, 45)= 5

LCM= 40X45/5

LCM= 40X9

LCM=360

**Solution By Method 2:**

5)40, 45

1)8, 9

LCM= 5X8X9 = 360

**Q2. Find the LCM of Factorial Number (5/3, 7/6, and 8/9)**

Solution:

According to Formula Find LCM of Numerators 5, 7, 8

LCM = 5X7X8=280

Find HCF of Denominators 3, 6, 9 = 3

LCM = 280/3

If you not proper understand then See my YouTube Video on bases of LCM formula with Example.

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