How many numbers up to 200 are divisible by b | vedclass

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Question

(B) number is divisible by both $2$ and $3$ if and only if it is divisible by their least common multiple $(L.C.M.)$.The $L.C.M.$ of $2$ and $3$ is $6

Vedclass · Accepted Answer

$33$

Vedclass · Answer

(B) number is divisible by both $2$ and $3$ if and only if it is divisible by their least common multiple $(L.C.M.)$.The $L.C.M.$ of $2$ and $3$ is $6$.To find the number of integers up to $200$ that are divisible by $6$,we divide $200$ by $6$ and take the quotient.$200 \div 6 = 33.33...$The integer part of the quotient is $33$.Therefore,there are $33$ numbers up to $200$ that are divisible by both $2$ and $3$.

How many numbers up to $200$ are divisible by both $2$ and $3$?

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