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  • If a=2^3×3 , b=2×3^5×5 ,c=3^n×5 and LCM of a,b and c is 2^3×3^^7×5 then find the value of n  

If a=2^3×3 , b=2×3^5×5 ,c=3^n×5 and LCM of a,b and c is 2^3×3^^7×5 then find the value of n

 

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\begin{aligned} & a=2^3 \times 3 \\ & b=2 \times 3^5 \times 5 \\ & c=3^n \times 5 \end{aligned}

LCM=2^3 \times 3^7 \times 5

\max (1,5, n)=7 \Rightarrow n=7

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Divya Sharma

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