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September 29th, 2013, 06:55 PM  #1 
Member Joined: Sep 2011 Posts: 97 Thanks: 1  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, 
September 29th, 2013, 07:06 PM  #2 
Math Team Joined: Nov 2010 From: Greece, Thessaloniki Posts: 1,989 Thanks: 133 Math Focus: pre pre pre pre pre pre pre pre pre pre pre pre calculus  Re: LCM & HCF doubts and 
September 29th, 2013, 07:23 PM  #3 
Member Joined: Sep 2011 Posts: 97 Thanks: 1  Re: LCM & HCF doubts
May i know how to get a) which is 2^3 and b) 2^5*3*5^2*7

September 29th, 2013, 07:33 PM  #4 
Math Team Joined: Nov 2010 From: Greece, Thessaloniki Posts: 1,989 Thanks: 133 Math Focus: pre pre pre pre pre pre pre pre pre pre pre pre calculus  Re: LCM & HCF doubts [color=#000000]Here is the trick that will make you remember it for every pairtriple 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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