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Which greatest number of digits is exactly divisible by and .

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answer is B.

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Detailed Solution

Concept: First, we'll calculate the L.C.M of the numbers given in the question. The least common Multiple is L.C.M. It is the smallest (positive number) that is the product of two or more numbers. As we know, the greatest four-digit number is

, so we must divide the L.C.M of the provided integers by

and then remove the remainder from

to achieve the proper answer.
Given numbers are

and

Using prime factorisation method,
Factors of the following numbers are;
Question Image

Therefore, LCM of

and

As we know that, the greatest

digit number is

If we’ll divide the number

. Remainder will be

It implies that, the required number is

Hence, the correct answer is option (2) .

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