hi,
what is the more "mathematical or scientific method to find LCM and HCF?
instead of just thinking? I remember short division could do the job, but forget how to do so
Hope someone explain me together with the concepts. Thanks!!!
hi,
what is the more "mathematical or scientific method to find LCM and HCF?
instead of just thinking? I remember short division could do the job, but forget how to do so
Hope someone explain me together with the concepts. Thanks!!!
Hi louis1234,
Not a stupid question at all. Look here for LCM and here for HCF.
Those links should help.
The simplest method to find LCM is to factor each number into the product of primes:
$\displaystyle 2 = 2^1$
$\displaystyle 5 = 5^1$
$\displaystyle 6 = 3^1 * 2^1$
Multiply all the different factors with the largest exponents. Since the different factors are 2, 5, and 3 and exponents are all 1, we simply multiply:
LCM = $\displaystyle 2 * 5 * 3 = 30$
I'm not sure how short division plays into this, though.
A better example might be: Find the LCM of 8, 12, and 15.
Factor each number into the product of primes:
$\displaystyle 8=2^3$
$\displaystyle 12=2^2*3$
$\displaystyle 15=3^1*5^1$
The different factors are 2, 3, and 5. Now multiply all the different factors using their largest exponents:
LCM = $\displaystyle 2^3*3^1*5^1=120$