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(B) Let the four consecutive prime numbers be $a, b, c,$ and $d$ in ascending order,such that $a < b < c < d$.Given that the product of the first thre

Vedclass · Accepted Answer

$13$

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(B) Let the four consecutive prime numbers be $a, b, c,$ and $d$ in ascending order,such that $a Given that the product of the first three is $a 	imes b 	imes c = 385$ and the product of the last three is $b 	imes c 	imes d = 1001$.To find the common factors,we calculate the Highest Common Factor $(HCF)$ of $385$ and $1001$.$385 = 5 	imes 7 	imes 11$$1001 = 7 	imes 11 	imes 13$The common factors are $7$ and $11$,so $b 	imes c = 7 	imes 11 = 77$.Now,using the product of the last three numbers: $b 	imes c 	imes d = 1001$.Substituting $b 	imes c = 77$,we get $77 	imes d = 1001$.Therefore,$d = \frac{1001}{77} = 13$.The four consecutive prime numbers are $5, 7, 11, 13$. The largest prime number is $13$.

In four consecutive prime numbers that are in ascending order,the product of the first three is $385$ and that of the last three is $1001$. The largest given prime number is

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