Question

what is the greatest 4 digit number which is exactly divisible by 20,30,32 and 36

Answer 1

Answer: I think it's 4380

Step-by-step explanation:

Answer 2

Answer:

Required Largest 4-digit number is 8640.

Step-by-step explanation:

Given:

numbers are 20 , 30 , 32 , 36

We need to find the greatest 4 digit number exactly divisible by given numbers.

First we find the LCM of the given numbers because LCM is the smallest number which is always divisible by given numbers.

20 = 2 × 2 × 5

30 = 2 × 3 × 5

32 = 2 × 2 × 2 × 2 × 2

36 = 2 × 3 × 2 × 3

LCM = 2 × 3 × 5 × 2 × 2 × 2 × 2 × 3 = 1440

Now greatest 4-digit multiple of 1140 is our required answer.

1440 , 2880 , 4320 , 5760 , 7200 , 8640 , 10080 , ...

From above,

8640 is the largest 4 digit multiple of 1440.

Therefore, Required Largest 4-digit number is 8640.