Find the LCM of the following monomials: 14xy^2, 28z^3y^2, 56xy^2z
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Answer:
56xy²z³
Step-by-step explanation:
Let a=14xy²
b=28z³y²
c=56xy²z
first find LCM of 14.28,56
factors of 14,28,56 are
24=2*7
28=2*2*7
56=2*2*2*7
So LCM=2*2*2*7=56
Now in a,b and c we see
the height power of
x is 1
y is 2
z is 3
So in LCM we should multiply the highest power of x,y and z
hence LCM of
a,b,c = 56*x*y²*z³=
=56xy²z³
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