Find the text{LCM} and text{GCD} of the follo | vedclass

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(A) The given numbers are $17$,$23$,and $29$.Since $17$,$23$,and $29$ are all prime numbers,their prime factorizations are:$17 = 17^1 	imes 1^1$$23 =

Vedclass · Accepted Answer

$	ext{LCM} = 11339, 	ext{GCD} = 1$

Vedclass · Answer

(A) The given numbers are $17$,$23$,and $29$.Since $17$,$23$,and $29$ are all prime numbers,their prime factorizations are:$17 = 17^1 	imes 1^1$$23 = 23^1 	imes 1^1$$29 = 29^1 	imes 1^1$$	ext{GCD}$ (Greatest Common Divisor) is the product of the smallest power of each common prime factor. Here,the only common factor is $1$.$	ext{GCD}(17, 23, 29) = 1$$	ext{LCM}$ (Least Common Multiple) is the product of the highest power of each prime factor involved in the numbers.$	ext{LCM}(17, 23, 29) = 17 	imes 23 	imes 29$$17 	imes 23 = 391$$391 	imes 29 = 11339$Therefore,$	ext{LCM} = 11339$ and $	ext{GCD} = 1$.

Find the $\text{LCM}$ and $\text{GCD}$ of the following numbers using the fundamental theorem of arithmetic: $17$,$23$,and $29$.

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