Find the Lowest Common Multiple (LCM) of the expressions (2x^2y), (8xy^2), and (16x^2y^3).

Question

Accepted Answer

Step:1 ：Step 1: First, we factorize each of the expressions into their prime factors. (2x^2y = 2 cdot x cdot x cdot y), (8xy^2 = 2 cdot 2 cdot 2 cdot x cdot y cdot y) and (16x^2y^3 = 2 cdot 2 cdot 2 cdot 2 cdot x cdot x cdot y cdot y cdot y).Step:2 ：Step 2: Next, we identify the highest power of each prime factor in the three expressions. For 2, it is (2^4). For (x), it is (x^2). For (y), it is (y^3).Step:3 ：Step 3: The LCM is then the product of each of these highest powers, i.e., (2^4 cdot x^2 cdot y^3).

Answer

Step: 1 ：Step 1: First, we factorize each of the expressions into their prime factors. (2x^2y = 2 cdot x cdot x cdot y), (8xy^2 = 2 cdot 2 cdot 2 cdot x cdot y cdot y) and (16x^2y^3 = 2 cdot 2 cdot 2 cdot 2 cdot x cdot x cdot y cdot y cdot y).Step: 2 ：Step 2: Next, we identify the highest power of each prime factor in the three expressions. For 2, it is (2^4). For (x), it is (x^2). For (y), it is (y^3).Step: 3 ：Step 3: The LCM is then the product of each of these highest powers, i.e., (2^4 cdot x^2 cdot y^3).

Find the Lowest Common Multiple (LCM) of the expressions $2 x^{2} y$ , $8 x y^{2}$ , and $16 x^{2} y^{3}$ .

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Popular Problems

Find the Lowest Common Multiple (LCM) of the expressions 2x2y, 8xy2, and 16x2y3.

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Popular Problems

Find the Lowest Common Multiple (LCM) of the expressions $2 x^{2} y$ , $8 x y^{2}$ , and $16 x^{2} y^{3}$ .