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September 29th, 2013, 06:55 PM   #1
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LCM & HCF doubts

Hi, I have encountered some problem with the below questions. Thank you in advanced for the help.


The numbers a, b and c written as a product of their prime factors, are
a= 2^3 * 3 * 7

b= 2^3 * 2^2 * 5

c= 2* 3 * 5^ 2 *7

a). Find the largest integer that will divide a, b and c exactly,


b). the smallest positive integer n for which n is a multiple of c,
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September 29th, 2013, 07:06 PM   #2
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Re: LCM & HCF doubts

and
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September 29th, 2013, 07:23 PM   #3
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Re: LCM & HCF doubts

May i know how to get a) which is 2^3 and b) 2^5*3*5^2*7
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September 29th, 2013, 07:33 PM   #4
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Re: LCM & HCF doubts

[color=#000000]Here is the trick that will make you remember it for every pair-triple etc

for the first question watch for the common primes with the lowest power and for the second take each prime once put it in order and take its highest power.

For example let then

and (for lcm look for the common ).

[/color]
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