# SOLUTION: LCM,14,22,176 LCM,26,14,112 examples ofGCF,ALSO

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 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 ----------- 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 ------------------------------ ------------------------------ 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```