Enter the values of the 2 or more numbers seperated by commas whose LCM and HCF need to be calculated Example 2,3,4
Click on the calculate button.
Formula used
$ LCM(a,b,c,d) = LCM(LCM(LCM(a,b),c),d)$
$ HCF(a,b,c,d) = HCF(HCF(HCF(a,b),c),d)$
LCM And HCF Calculator
What is Least Common Multiple
Least Common Multiple or LCM of two numbers a and b is the smallest postive integer which is evenly divisible by the numbers a and b. It is called lowest common multiple or Lowest common divisible.
LCM can be obtained using prime fractorization technique. Here we find the LCM using the below Formula
$LCM (a,b) = \frac { HCF(a,b)}{a \times b}$
What is Highest Common Factor
Highest Common Factor or HCF of two numbers a and b is greatest postive integer which divide numbers a and b. It is called Greatest common Factor or Greatest common divisor.
HCF can be obtained using prime fractorization technique. Here we find the HCF using the Euclid Divison Lemma
How the HCF and LCM calculator works
First we need to input the positive integers whose LCM is required to be calculated
Now first we calculate the LCM of first two values using the formula
$LCM (a,b) = \frac { HCF(a,b)}{a \times b}$
Now the LCM obtained and third number is taken and LCM is again obtained using the same technique.
We keep doing until all numbers are absorbed, final LCM is obtained
Similarly we obtained the HCF
Example of Few questions where you can use this HCF and LCM Calculator