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# Find the least multiple of 23 which when divided by 24, 21, and 18 leaves the remainders 13, 10, and 7 respectively .

Find the least multiple of 23 which when divided by 24, 21, and 18 leaves the remainders 13, 10, and 7 respectively

• Option 1)

• Option 2)

• Option 3)

• Option 4)

• Option 5)

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$LCM \: \left ( 24,21,18 \right )=504$

$24-13=11, 21-10=11, 18-7=11$

$\left ( 504\: k-11 \right )\: is \: divisible \: by\: 23$

$K=6$

$504\ast6-11=3013$

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