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?
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.
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