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If an integer K is divisible by 2, 5 and 13. What is the next largest number that is divisible by all the 3 given numbers?

Question

If an integer K is divisible by 2, 5 and 13. What is the next largest number that is divisible by all the 3 given numbers?

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Solution

The given integer K is divisible by 2, 5, and 13. This means that K is a multiple of the least common multiple (LCM) of 2, 5, and 13.

Step 1: Find the LCM of 2, 5, and 13. The LCM of 2, 5, and 13 is 130.

Step 2: Find the next multiple of the LCM. If K is a multiple of 130, then the next largest number that is also a multiple of 130 is K + 130.

So, the next largest number that is divisible by 2, 5, and 13 is K + 130.

This problem has been solved

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