## What are the integer numbers lying between 45 to 195 are divisible by 5 and 3 together(including both 45 and 195 also)?

Question

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## Answers ( )

Answer:

45, 60, 75, 90, 105, 120, 135, 150, 165, 180 and 195 are divisible by both 3 and 5.

Step-by-step explanation:

You just have to write the multiples of the LCM (Lowest Common Multiple) of the numbers 3 and 5 which are there between 45 and 195. Here LCM is 15 because,

Multiples of 3 = 3, 6, 9, 12, 15, 18, 21…….

Multiples of 5 = 5, 10, 15, 20, 25, 30…….

Here 15 is the number that is least common in the multiples of 3 and 5. So the answer is the multiples of 15 between 45 and 195 which are:

45, 60, 75, 90, 105, 120, 135, 150, 165, 180 and 195.

This works out for all numbers.

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