Let P =x² y³zⁿ and q = x³ y^m z², where x, ...

CBSE Class 10 Standard Math 2025 All Sets Solved Paper

Question : 11 of 20

Marks: +1, -0

Let

P =x^2 y^3z^n

and

q = x^3 y^m z^2

, where x, y, z are prime numbers. If

\operatorname{LCM}(p,q) =x^3 y^4 z^3

, then the value of (2m + 3n) is

Solution:

Given:-

P=x^2 y^3 z^n

V=x^3 y^m z^2

\operatorname{LCM}(p, q)=x^3 y^4 z^3

where x, y, z are prime numbers.

m=4 \text{ and } n=3

then,

2 m+3 n

= 2 \times 4+3 \times 3

= 8+9

= 17

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