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  1. #1
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    stupid question about

    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!!!
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  2. #2
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    Quote Originally Posted by louis1234 View Post
    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.
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  3. #3
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    Quote Originally Posted by masters View Post
    Hi louis1234,

    Not a stupid question at all. Look here for LCM and here for HCF.

    Those links should help.
    thanks

    but what i want to know is, how to use short division to do that.

    Maybe below will explain. Like this, find the L.C.M. of 2,5 and 6
    how to further to it if 5 is not divisible by 2

    2 | 2 5 6
    ------------
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  4. #4
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    Quote Originally Posted by louis12345 View Post
    thanks

    but what i want to know is, how to use short division to do that.

    Maybe below will explain. Like this, find the L.C.M. of 2,5 and 6
    how to further to it if 5 is not divisible by 2

    2 | 2 5 6
    ------------
    The simplest method to find LCM is to factor each number into the product of primes:

    2 = 2^1
    5 = 5^1
    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 = 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:

    8=2^3
    12=2^2*3
    15=3^1*5^1

    The different factors are 2, 3, and 5. Now multiply all the different factors using their largest exponents:

    LCM = 2^3*3^1*5^1=120
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