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The sum of all natural numbers from 100 to 300 which are exactly divisible by 4 and 5?
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The sum of all natural numbers from 100 to 300 which are exactly divis...
Sum of Natural Numbers Divisible by 4 and 5 between 100 and 300



  • Step 1: Find the first number divisible by 20 (LCM of 4 and 5) between 100 and 300.


    • The first number divisible by 20 between 100 and 300 is 100.


  • Step 2: Find the last number divisible by 20 between 100 and 300.


    • The last number divisible by 20 between 100 and 300 is 300.


  • Step 3: Find the number of terms between 100 and 300 that are divisible by 20.


    • The number of terms between 100 and 300 that are divisible by 20 is (300-100)/20 + 1 = 11.


  • Step 4: Find the sum of the terms that are divisible by 20.


    • The sum of the terms that are divisible by 20 is (100+300) * 11 / 2 = 2200.


  • Step 5: Find the sum of the natural numbers that are divisible by 4 and 5 between 100 and 300.


    • The sum of the natural numbers that are divisible by 4 and 5 between 100 and 300 is equal to the sum of the terms that are divisible by 20.

    • Therefore, the sum of the natural numbers that are divisible by 4 and 5 between 100 and 300 is 2200.




Therefore, the sum of all natural numbers from 100 to 300 which are exactly divisible by 4 and 5 is 2200.
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The sum of all natural numbers from 100 to 300 which are exactly divisible by 4 and 5?
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