<PRE><B>Question 155841</B>
LCM of 14,22,176 
&lt;pre&gt;&lt;font size = 4 color = &quot;indigo&quot;&gt;&lt;b&gt;
Whether you want the LCM or the GCF, you begin by breaking
all the numbers down into a product of prime numbers:

14  = 2*7
22  = 2*11
176 = 2*88 = 2*2*44 = 2*2*2*22 = 2*2*2*2*11

 14 = 2*7
 22 = 2*11
176 = 2*2*2*2*11

To find the GCF, we color red all factors that
are common to ALL THREE

 14 = &lt;font color = &quot;red&quot;&gt;2&lt;/font&gt;*7
 22 = &lt;font color = &quot;red&quot;&gt;2&lt;/font&gt;*11
176 = &lt;font color = &quot;red&quot;&gt;2&lt;/font&gt;*2*2*2*11

There is only one factor in common to all three,
and that is &lt;font color = &quot;red&quot;&gt;2&lt;/font&gt;.  So
GCF of 14, 22, and 176 is &lt;font color = &quot;red&quot;&gt;2&lt;/font&gt; 

-----------

To find the LCM, we color red what is in common 
to ANY TWO OR THREE of them:

 14 = &lt;font color = &quot;red&quot;&gt;2&lt;/font&gt;*7
 22 = &lt;font color = &quot;red&quot;&gt;2&lt;/font&gt;*&lt;font color = &quot;red&quot;&gt;11&lt;/font&gt;
176 = &lt;font color = &quot;red&quot;&gt;2&lt;/font&gt;*2*2*2*&lt;font color = &quot;red&quot;&gt;11&lt;/font&gt;

The LCM is to form the product of ONLY ONE of each red factor
but EVERY non-red factor.

LCM = &lt;font color = &quot;red&quot;&gt;2&lt;/font&gt;*&lt;font color = &quot;red&quot;&gt;11&lt;/font&gt;*2*2*2*2 = 1232 

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LCM,26,14,112

LCM of 26,14,112 

Whether you want the LCM or the GCF, you begin by breaking
all the numbers down into a product of prime numbers:

 26 = 2*13
 14 = 2*7
112 = 2*56 = 2*2*28 = 2*2*2*14 = 2*2*2*2*7

 26 = 2*13
 14 = 2*7
112 = 2*2*2*2*7

To find the GCF, we color red all factors that
are common to ALL THREE

 26 = &lt;font color = &quot;red&quot;&gt;2&lt;/font&gt;*13
 14 = &lt;font color = &quot;red&quot;&gt;2&lt;/font&gt;*7
112 = &lt;font color = &quot;red&quot;&gt;2&lt;/font&gt;*2*2*2*7

There is only one factor in common to all three,
and that is &lt;font color = &quot;red&quot;&gt;2&lt;/font&gt;.  So
GCF of 26, 14, and 112 is &lt;font color = &quot;red&quot;&gt;2&lt;/font&gt; 

-----------

To find the LCM, we color red what is in common 
to ANY TWO OR THREE of them:

 26 = &lt;font color = &quot;red&quot;&gt;2&lt;/font&gt;*13
 14 = &lt;font color = &quot;red&quot;&gt;2&lt;/font&gt;*&lt;font color = &quot;red&quot;&gt;7&lt;/font&gt;
112 = &lt;font color = &quot;red&quot;&gt;2&lt;/font&gt;*2*2*2*&lt;font color = &quot;red&quot;&gt;7&lt;/font&gt;

The LCM is to form the product of ONLY ONE of each red factor
but EVERY non-red factor.

LCM = &lt;font color = &quot;red&quot;&gt;2&lt;/font&gt;*&lt;font color = &quot;red&quot;&gt;7&lt;/font&gt;*13*2*2*2 = 1456 

Edwin&lt;/pre&gt;
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