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Question

Find the smallest number which is divisible by 85 and 119.

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Solution

To find the smallest number which is divisible by 85 and 119, we have to take L. C. M. of 85 and119.
Prime Factors of 85=5×17
Prime Factors of 119=7×17
So,
L. C. M. of85 and 119=5×7×17
L. C. M. of 85 and 119=595
So,595 is the smallest number which is divisible by85 and119.


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