Question

Find the sum of all numbers less than 1000 which are exactly divisible by 2 3 4 5 6 7

Answer 1

Answer:

2 3 4 5 6 7 BBBBBBBBBBBBBBBBRRRRRRRRRRRROOOOOOOOOO

Answer 2

Step-by-step explanation:

We know how to calculate how numbers are divisible by each number that is by 2,3,4,5 using one of known methods like “AP” concept

We get divisible by 2–500 numbers

divisible by 3–333 numbers

divisible by 4–250 numbers

divisible by 5–140 numbers

Now coming to our question,how may numbers are divisible by all 2,3,4 and 5

So consider lcm of 2,3,4,5=60

Now, using 60 as first term and 960 (above 960 and below 1000 there is no other number which is divisible by 60)as nth term and difference (d)=60 ,

We can calculate ‘n' value

tn=a+(n-1)d

960=60+(n-1)60

16=1+(n-1)

n=16.

We can say that there are 16 numbers which are divisible by 2,3,4 and 5