How do you find the Least common multiple of 14, 6?
##L.C.M(14,6)=42##
There are two ways to find ##” “L.C.M(14,6)##
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First method:
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List the multiples of 14 .
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List the multiples of 6.
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Choose the non-zero common multiple between the two lists.
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Let us apply it:
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Multiples of 14 are:
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##” “0,” “14,” “28,” “42………##
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Multiples of 6 are :
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##” “0,” “6,” “12,” “18,” “24,” “30,” “36,” “42……..##
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Therefore, ##” “L.C.M(14,6) = 42##
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Second method:
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Write the of 14 and 6.
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Take all the with highest exponent from the prime factorization.
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Ex :##” “color(blue)(9=3^2)” “and” “color(red)(6=2xx3)##
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##L.C.M(9,6) = color(blue)(3^2)xxcolor(red)2=18##
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Let us apply this method to find ##” “L.C.M(14,6)##.
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##14=2xx7″ ” and ” “6=2xx3##
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##L.C.M(14,6)=2xx3xx7=42##