Question

What's the LCM of 16a²x²y³ and 12a²x³y²?
a) 48a²x³y³
b) 16a²x³y³
c) 48a⁴x⁵y⁵
d) None of these.​

Answer 1

Answer:

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Answer 2

Given :  16a²x²y³ and 12a²x³y²

To Find :   LCM

a) 48a²x³y³

b) 16a²x³y³

c) 48a⁴x⁵y⁵

d) None of these.​

Solution:

LCM  Least common Multiple of given expressions is a least power polynomial and least power numeric coefficient expression which is divisible by all the expression.

HCF Highest common factor is highest power polynomial and largest power numeric coefficient expression which can divide all the expressions.

Factorization is finding factors which when multiplied together results in the original number.

LCM = product of each factor  of highest power  

HCF = product of common factors of least power

16a²x²y³  = 2⁴ * a²x²y³  

12a²x³y² = 2² * 3¹ * a²x³y²

LCM = product of each factor  of highest power

= 2⁴ * 3¹ *  a²x³y³

= 48 a²x³y³

48 a²x³y³  is the LCM of  16a²x²y³ and 12a²x³y²

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