Question 155841: LCM,14,22,176
LCM,26,14,112
examples ofGCF,ALSO
Answer by Edwin McCravy(8893)   (Show Source):
You can put this solution on YOUR website!LCM of 14,22,176
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 = 2*7
22 = 2*11
176 = 2*2*2*2*11
There is only one factor in common to all three,
and that is 2. So
GCF of 14, 22, and 176 is 2
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To find the LCM, we color red what is in common
to ANY TWO OR THREE of them:
14 = 2*7
22 = 2*11
176 = 2*2*2*2*11
The LCM is to form the product of ONLY ONE of each red factor
but EVERY non-red factor.
LCM = 2*11*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 = 2*13
14 = 2*7
112 = 2*2*2*2*7
There is only one factor in common to all three,
and that is 2. So
GCF of 26, 14, and 112 is 2
-----------
To find the LCM, we color red what is in common
to ANY TWO OR THREE of them:
26 = 2*13
14 = 2*7
112 = 2*2*2*2*7
The LCM is to form the product of ONLY ONE of each red factor
but EVERY non-red factor.
LCM = 2*7*13*2*2*2 = 1456
Edwin
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