Find the largest number of four digits exactl | vedclass

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(C) The largest four-digit number is $9999$.To find the number exactly divisible by $14, 24, 27$,and $32$,we first calculate their $LCM$:$14 = 2 	ime

Vedclass · Accepted Answer

$6048$

Vedclass · Answer

(C) The largest four-digit number is $9999$.To find the number exactly divisible by $14, 24, 27$,and $32$,we first calculate their $LCM$:$14 = 2 	imes 7$$24 = 2^{3} 	imes 3$$27 = 3^{3}$$32 = 2^{5}$$LCM = 2^{5} 	imes 3^{3} 	imes 7 = 32 	imes 27 	imes 7 = 6048$.Now,we divide the largest four-digit number by the $LCM$:$9999 \div 6048 = 1$ with a remainder of $3951$.To find the largest four-digit number divisible by $6048$,we subtract the remainder from $9999$:$9999 - 3951 = 6048$.Therefore,the largest four-digit number exactly divisible by $14, 24, 27$,and $32$ is $6048$.

Find the largest number of four digits exactly divisible by $14, 24, 27$ and $32$.

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