What is the least number by which $825$ must be multiplied in order to produce a multiple of $715 ?$

13

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15

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11

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3

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Solution

The correct option is B $13$
$825 = 3 \times 5 \times 5 \times 11$
$715 = 5 \times 11 \times 13$
In the factor of both numbers, $13$ is not common.
Hence, the least number by which $825$ must be multiplied in order to produce a multiple of $715 = 13.$

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