Question

Write the smallest 4-digit number that is divisible by 2,3,4,5 and 6. with steps.​

Answer 1

Answer:

yes

Step-by-step explanation:

The smallest 4 digit number divisible by 2,3,4,5 is 1020.

The number divisible by 2,3,4,5 and 6 has to be divisible by their LCM which is 60.

Now the smallest 4 digit number is 1000. On dividing it by 60 we get 40 as remainder so subtracting 40 from 1000 gives a number which is divisible by 60 So 960 is divisible by 60. The next number divisible by 60 is 960+60 = 1020.

960 is a 3 digit number so 1020 is the smallest 4 digit number divisible By 60 and hence divisible by 2,3,4,5 and 6.

Answer 2

Answer:

lcm of 2,3,4,5,6=60

greatest 4 dogit no.= 9999

9999/60= 166.65