Math
Least Common Multiples (LCM) Formula with Examples
Table of Contents
What is LCM?
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
L.C.M formula for any two numbers is,
LCM = aXb / gcd (a, b)
LCM formula for fraction is given by,
LCM = LCM of Numerator / HCF of Denominator
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 = 2X5X4
45 = 5X9
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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