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
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
Solution By Method 2:
LCM= 5X8X9 = 360
Q2. Find the LCM of Factorial Number (5/3, 7/6, and 8/9)
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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